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Finding the Fourth Proportional to 15,131.76, 20,882.28 and 9,164.52

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Solution

The fourth proportional to 15,131.76, 20,882.28 and 9,164.52 is: 12,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.76 : 20,882.28 = 9,164.52 : x
  2. Step 2: Convert to fraction form
    15,131.76/20,882.28 = 9,164.52/x
  3. Step 3: Cross multiply
    15,131.76x = 20,882.28 × 9,164.52
  4. Step 4: Simplify right side
    15,131.76x = 191,376,072.71
  5. Step 5: Solve for x
    x = 191,376,072.71/15,131.76
  6. Step 6: Final answer
    x = 12,647.31

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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.