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Finding the Fourth Proportional to 15,177.69, 20,945.22 and 8,463.16

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Solution

The fourth proportional to 15,177.69, 20,945.22 and 8,463.16 is: 11,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.69 : 20,945.22 = 8,463.16 : x
  2. Step 2: Convert to fraction form
    15,177.69/20,945.22 = 8,463.16/x
  3. Step 3: Cross multiply
    15,177.69x = 20,945.22 × 8,463.16
  4. Step 4: Simplify right side
    15,177.69x = 177,262,748.10
  5. Step 5: Solve for x
    x = 177,262,748.10/15,177.69
  6. Step 6: Final answer
    x = 11,679.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.