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Finding the Fourth Proportional to 24,441.72, 36,643.14 and 10,581

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Solution

The fourth proportional to 24,441.72, 36,643.14 and 10,581 is: 15,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.72 : 36,643.14 = 10,581 : x
  2. Step 2: Convert to fraction form
    24,441.72/36,643.14 = 10,581/x
  3. Step 3: Cross multiply
    24,441.72x = 36,643.14 × 10,581
  4. Step 4: Simplify right side
    24,441.72x = 387,721,064.34
  5. Step 5: Solve for x
    x = 387,721,064.34/24,441.72
  6. Step 6: Final answer
    x = 15,863.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.