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Finding the Fourth Proportional to 22,777,978.60, 34,169,964.90 and 8,411,138.20

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Solution

The fourth proportional to 22,777,978.60, 34,169,964.90 and 8,411,138.20 is: 12,617,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777,978.60 : 34,169,964.90 = 8,411,138.20 : x
  2. Step 2: Convert to fraction form
    22,777,978.60/34,169,964.90 = 8,411,138.20/x
  3. Step 3: Cross multiply
    22,777,978.60x = 34,169,964.90 × 8,411,138.20
  4. Step 4: Simplify right side
    22,777,978.60x = 287,408,297,063,049.12
  5. Step 5: Solve for x
    x = 287,408,297,063,049.12/22,777,978.60
  6. Step 6: Final answer
    x = 12,617,813.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.