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Finding the Fourth Proportional to 15,252.24, 22,883.28 and 6,494.64

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Solution

The fourth proportional to 15,252.24, 22,883.28 and 6,494.64 is: 9,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,252.24 : 22,883.28 = 6,494.64 : x
  2. Step 2: Convert to fraction form
    15,252.24/22,883.28 = 6,494.64/x
  3. Step 3: Cross multiply
    15,252.24x = 22,883.28 × 6,494.64
  4. Step 4: Simplify right side
    15,252.24x = 148,618,665.62
  5. Step 5: Solve for x
    x = 148,618,665.62/15,252.24
  6. Step 6: Final answer
    x = 9,744.06

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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.