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Finding the Fourth Proportional to 22,915.32, 34,342.20 and 9,764.16

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Solution

The fourth proportional to 22,915.32, 34,342.20 and 9,764.16 is: 14,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.32 : 34,342.20 = 9,764.16 : x
  2. Step 2: Convert to fraction form
    22,915.32/34,342.20 = 9,764.16/x
  3. Step 3: Cross multiply
    22,915.32x = 34,342.20 × 9,764.16
  4. Step 4: Simplify right side
    22,915.32x = 335,322,735.55
  5. Step 5: Solve for x
    x = 335,322,735.55/22,915.32
  6. Step 6: Final answer
    x = 14,633.12

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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.