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Finding the Fourth Proportional to 12,429.86, 18,644.70 and 5,034.20

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Solution

The fourth proportional to 12,429.86, 18,644.70 and 5,034.20 is: 7,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.86 : 18,644.70 = 5,034.20 : x
  2. Step 2: Convert to fraction form
    12,429.86/18,644.70 = 5,034.20/x
  3. Step 3: Cross multiply
    12,429.86x = 18,644.70 × 5,034.20
  4. Step 4: Simplify right side
    12,429.86x = 93,861,148.74
  5. Step 5: Solve for x
    x = 93,861,148.74/12,429.86
  6. Step 6: Final answer
    x = 7,551.26

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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.