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Finding the Fourth Proportional to 24,840.92, 34,282.14 and 13,663.64

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Solution

The fourth proportional to 24,840.92, 34,282.14 and 13,663.64 is: 18,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.92 : 34,282.14 = 13,663.64 : x
  2. Step 2: Convert to fraction form
    24,840.92/34,282.14 = 13,663.64/x
  3. Step 3: Cross multiply
    24,840.92x = 34,282.14 × 13,663.64
  4. Step 4: Simplify right side
    24,840.92x = 468,418,819.39
  5. Step 5: Solve for x
    x = 468,418,819.39/24,840.92
  6. Step 6: Final answer
    x = 18,856.74

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