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Finding the Fourth Proportional to 12,915.92, 19,351.20 and 9,212.64

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Solution

The fourth proportional to 12,915.92, 19,351.20 and 9,212.64 is: 13,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.92 : 19,351.20 = 9,212.64 : x
  2. Step 2: Convert to fraction form
    12,915.92/19,351.20 = 9,212.64/x
  3. Step 3: Cross multiply
    12,915.92x = 19,351.20 × 9,212.64
  4. Step 4: Simplify right side
    12,915.92x = 178,275,639.17
  5. Step 5: Solve for x
    x = 178,275,639.17/12,915.92
  6. Step 6: Final answer
    x = 13,802.78

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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.