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Finding the Fourth Proportional to 16,306.81, 24,458.17 and 5,212.58

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Solution

The fourth proportional to 16,306.81, 24,458.17 and 5,212.58 is: 7,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.81 : 24,458.17 = 5,212.58 : x
  2. Step 2: Convert to fraction form
    16,306.81/24,458.17 = 5,212.58/x
  3. Step 3: Cross multiply
    16,306.81x = 24,458.17 × 5,212.58
  4. Step 4: Simplify right side
    16,306.81x = 127,490,167.78
  5. Step 5: Solve for x
    x = 127,490,167.78/16,306.81
  6. Step 6: Final answer
    x = 7,818.22

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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.