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Finding the Fourth Proportional to 15,470.39, 23,201.87 and 7,142.41

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Solution

The fourth proportional to 15,470.39, 23,201.87 and 7,142.41 is: 10,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.39 : 23,201.87 = 7,142.41 : x
  2. Step 2: Convert to fraction form
    15,470.39/23,201.87 = 7,142.41/x
  3. Step 3: Cross multiply
    15,470.39x = 23,201.87 × 7,142.41
  4. Step 4: Simplify right side
    15,470.39x = 165,717,201.37
  5. Step 5: Solve for x
    x = 165,717,201.37/15,470.39
  6. Step 6: Final answer
    x = 10,711.89

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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.