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Finding the Fourth Proportional to 16,343.10, 24,475.15 and 9,301.78

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Solution

The fourth proportional to 16,343.10, 24,475.15 and 9,301.78 is: 13,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.10 : 24,475.15 = 9,301.78 : x
  2. Step 2: Convert to fraction form
    16,343.10/24,475.15 = 9,301.78/x
  3. Step 3: Cross multiply
    16,343.10x = 24,475.15 × 9,301.78
  4. Step 4: Simplify right side
    16,343.10x = 227,662,460.77
  5. Step 5: Solve for x
    x = 227,662,460.77/16,343.10
  6. Step 6: Final answer
    x = 13,930.19

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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.