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Finding the Fourth Proportional to 25,763.16, 38,654.46 and 9,122.52

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Solution

The fourth proportional to 25,763.16, 38,654.46 and 9,122.52 is: 13,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.16 : 38,654.46 = 9,122.52 : x
  2. Step 2: Convert to fraction form
    25,763.16/38,654.46 = 9,122.52/x
  3. Step 3: Cross multiply
    25,763.16x = 38,654.46 × 9,122.52
  4. Step 4: Simplify right side
    25,763.16x = 352,626,084.44
  5. Step 5: Solve for x
    x = 352,626,084.44/25,763.16
  6. Step 6: Final answer
    x = 13,687.22

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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.