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Finding the Fourth Proportional to 15,132.25, 22,702.02 and 4,744

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Solution

The fourth proportional to 15,132.25, 22,702.02 and 4,744 is: 7,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.25 : 22,702.02 = 4,744 : x
  2. Step 2: Convert to fraction form
    15,132.25/22,702.02 = 4,744/x
  3. Step 3: Cross multiply
    15,132.25x = 22,702.02 × 4,744
  4. Step 4: Simplify right side
    15,132.25x = 107,698,382.88
  5. Step 5: Solve for x
    x = 107,698,382.88/15,132.25
  6. Step 6: Final answer
    x = 7,117.14

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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.