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Finding the Fourth Proportional to 24,177.07, 36,257.39 and 8,378.42

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Solution

The fourth proportional to 24,177.07, 36,257.39 and 8,378.42 is: 12,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.07 : 36,257.39 = 8,378.42 : x
  2. Step 2: Convert to fraction form
    24,177.07/36,257.39 = 8,378.42/x
  3. Step 3: Cross multiply
    24,177.07x = 36,257.39 × 8,378.42
  4. Step 4: Simplify right side
    24,177.07x = 303,779,641.52
  5. Step 5: Solve for x
    x = 303,779,641.52/24,177.07
  6. Step 6: Final answer
    x = 12,564.78

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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.