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Finding the Fourth Proportional to 15,305.16, 22,959.76 and 6,542.08

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Solution

The fourth proportional to 15,305.16, 22,959.76 and 6,542.08 is: 9,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.16 : 22,959.76 = 6,542.08 : x
  2. Step 2: Convert to fraction form
    15,305.16/22,959.76 = 6,542.08/x
  3. Step 3: Cross multiply
    15,305.16x = 22,959.76 × 6,542.08
  4. Step 4: Simplify right side
    15,305.16x = 150,204,586.70
  5. Step 5: Solve for x
    x = 150,204,586.70/15,305.16
  6. Step 6: Final answer
    x = 9,813.98

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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.