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Finding the Fourth Proportional to 24,896.42, 34,356.61 and 13,565.99

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Solution

The fourth proportional to 24,896.42, 34,356.61 and 13,565.99 is: 18,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.42 : 34,356.61 = 13,565.99 : x
  2. Step 2: Convert to fraction form
    24,896.42/34,356.61 = 13,565.99/x
  3. Step 3: Cross multiply
    24,896.42x = 34,356.61 × 13,565.99
  4. Step 4: Simplify right side
    24,896.42x = 466,081,401.71
  5. Step 5: Solve for x
    x = 466,081,401.71/24,896.42
  6. Step 6: Final answer
    x = 18,720.82

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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.