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Finding the Fourth Proportional to 24,665, 34,037.70 and 13,487

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Solution

The fourth proportional to 24,665, 34,037.70 and 13,487 is: 18,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665 : 34,037.70 = 13,487 : x
  2. Step 2: Convert to fraction form
    24,665/34,037.70 = 13,487/x
  3. Step 3: Cross multiply
    24,665x = 34,037.70 × 13,487
  4. Step 4: Simplify right side
    24,665x = 459,066,459.90
  5. Step 5: Solve for x
    x = 459,066,459.90/24,665
  6. Step 6: Final answer
    x = 18,612.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.