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Finding the Fourth Proportional to 24,415.08, 36,635.58 and 10,563

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Solution

The fourth proportional to 24,415.08, 36,635.58 and 10,563 is: 15,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.08 : 36,635.58 = 10,563 : x
  2. Step 2: Convert to fraction form
    24,415.08/36,635.58 = 10,563/x
  3. Step 3: Cross multiply
    24,415.08x = 36,635.58 × 10,563
  4. Step 4: Simplify right side
    24,415.08x = 386,981,631.54
  5. Step 5: Solve for x
    x = 386,981,631.54/24,415.08
  6. Step 6: Final answer
    x = 15,850.11

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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.