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Finding the Fourth Proportional to 38,641.47, 57,951.50 and 13,678.23

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Solution

The fourth proportional to 38,641.47, 57,951.50 and 13,678.23 is: 20,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.47 : 57,951.50 = 13,678.23 : x
  2. Step 2: Convert to fraction form
    38,641.47/57,951.50 = 13,678.23/x
  3. Step 3: Cross multiply
    38,641.47x = 57,951.50 × 13,678.23
  4. Step 4: Simplify right side
    38,641.47x = 792,674,171.71
  5. Step 5: Solve for x
    x = 792,674,171.71/38,641.47
  6. Step 6: Final answer
    x = 20,513.56

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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.