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Finding the Fourth Proportional to 15,177.18, 22,735.68 and 7,160.97

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Solution

The fourth proportional to 15,177.18, 22,735.68 and 7,160.97 is: 10,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.18 : 22,735.68 = 7,160.97 : x
  2. Step 2: Convert to fraction form
    15,177.18/22,735.68 = 7,160.97/x
  3. Step 3: Cross multiply
    15,177.18x = 22,735.68 × 7,160.97
  4. Step 4: Simplify right side
    15,177.18x = 162,809,522.41
  5. Step 5: Solve for x
    x = 162,809,522.41/15,177.18
  6. Step 6: Final answer
    x = 10,727.26

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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.