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Finding the Fourth Proportional to 24,563.62, 36,814.60 and 10,507.12

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Solution

The fourth proportional to 24,563.62, 36,814.60 and 10,507.12 is: 15,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.62 : 36,814.60 = 10,507.12 : x
  2. Step 2: Convert to fraction form
    24,563.62/36,814.60 = 10,507.12/x
  3. Step 3: Cross multiply
    24,563.62x = 36,814.60 × 10,507.12
  4. Step 4: Simplify right side
    24,563.62x = 386,815,419.95
  5. Step 5: Solve for x
    x = 386,815,419.95/24,563.62
  6. Step 6: Final answer
    x = 15,747.49

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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.