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Finding the Fourth Proportional to 15,132.86, 22,696.05 and 6,365.42

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Solution

The fourth proportional to 15,132.86, 22,696.05 and 6,365.42 is: 9,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.86 : 22,696.05 = 6,365.42 : x
  2. Step 2: Convert to fraction form
    15,132.86/22,696.05 = 6,365.42/x
  3. Step 3: Cross multiply
    15,132.86x = 22,696.05 × 6,365.42
  4. Step 4: Simplify right side
    15,132.86x = 144,469,890.59
  5. Step 5: Solve for x
    x = 144,469,890.59/15,132.86
  6. Step 6: Final answer
    x = 9,546.77

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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.