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Finding the Fourth Proportional to 22,784.22, 34,138.80 and 14,000.58

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Solution

The fourth proportional to 22,784.22, 34,138.80 and 14,000.58 is: 20,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.22 : 34,138.80 = 14,000.58 : x
  2. Step 2: Convert to fraction form
    22,784.22/34,138.80 = 14,000.58/x
  3. Step 3: Cross multiply
    22,784.22x = 34,138.80 × 14,000.58
  4. Step 4: Simplify right side
    22,784.22x = 477,963,000.50
  5. Step 5: Solve for x
    x = 477,963,000.50/22,784.22
  6. Step 6: Final answer
    x = 20,977.81

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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.