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Finding the Fourth Proportional to 15,134.97, 22,702.23 and 6,809.11

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Solution

The fourth proportional to 15,134.97, 22,702.23 and 6,809.11 is: 10,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.97 : 22,702.23 = 6,809.11 : x
  2. Step 2: Convert to fraction form
    15,134.97/22,702.23 = 6,809.11/x
  3. Step 3: Cross multiply
    15,134.97x = 22,702.23 × 6,809.11
  4. Step 4: Simplify right side
    15,134.97x = 154,582,016.78
  5. Step 5: Solve for x
    x = 154,582,016.78/15,134.97
  6. Step 6: Final answer
    x = 10,213.56

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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.