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Finding the Fourth Proportional to 16,302.56, 24,437.29 and 9,268.04

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Solution

The fourth proportional to 16,302.56, 24,437.29 and 9,268.04 is: 13,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.56 : 24,437.29 = 9,268.04 : x
  2. Step 2: Convert to fraction form
    16,302.56/24,437.29 = 9,268.04/x
  3. Step 3: Cross multiply
    16,302.56x = 24,437.29 × 9,268.04
  4. Step 4: Simplify right side
    16,302.56x = 226,485,635.86
  5. Step 5: Solve for x
    x = 226,485,635.86/16,302.56
  6. Step 6: Final answer
    x = 13,892.65

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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.