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Finding the Fourth Proportional to 15,225.26, 22,833.62 and 6,454.17

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Solution

The fourth proportional to 15,225.26, 22,833.62 and 6,454.17 is: 9,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.26 : 22,833.62 = 6,454.17 : x
  2. Step 2: Convert to fraction form
    15,225.26/22,833.62 = 6,454.17/x
  3. Step 3: Cross multiply
    15,225.26x = 22,833.62 × 6,454.17
  4. Step 4: Simplify right side
    15,225.26x = 147,372,032.92
  5. Step 5: Solve for x
    x = 147,372,032.92/15,225.26
  6. Step 6: Final answer
    x = 9,679.45

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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.