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Finding the Fourth Proportional to 16,246.20, 24,308.52 and 11,577

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Solution

The fourth proportional to 16,246.20, 24,308.52 and 11,577 is: 17,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.20 : 24,308.52 = 11,577 : x
  2. Step 2: Convert to fraction form
    16,246.20/24,308.52 = 11,577/x
  3. Step 3: Cross multiply
    16,246.20x = 24,308.52 × 11,577
  4. Step 4: Simplify right side
    16,246.20x = 281,419,736.04
  5. Step 5: Solve for x
    x = 281,419,736.04/16,246.20
  6. Step 6: Final answer
    x = 17,322.19

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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.