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Finding the Fourth Proportional to 12,374, 18,563.92 and 4,166

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Solution

The fourth proportional to 12,374, 18,563.92 and 4,166 is: 6,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 18,563.92 = 4,166 : x
  2. Step 2: Convert to fraction form
    12,374/18,563.92 = 4,166/x
  3. Step 3: Cross multiply
    12,374x = 18,563.92 × 4,166
  4. Step 4: Simplify right side
    12,374x = 77,337,290.72
  5. Step 5: Solve for x
    x = 77,337,290.72/12,374
  6. Step 6: Final answer
    x = 6,249.98

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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.