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Finding the Fourth Proportional to 12,984.28, 17,915.70 and 7,677.16

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Solution

The fourth proportional to 12,984.28, 17,915.70 and 7,677.16 is: 10,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.28 : 17,915.70 = 7,677.16 : x
  2. Step 2: Convert to fraction form
    12,984.28/17,915.70 = 7,677.16/x
  3. Step 3: Cross multiply
    12,984.28x = 17,915.70 × 7,677.16
  4. Step 4: Simplify right side
    12,984.28x = 137,541,695.41
  5. Step 5: Solve for x
    x = 137,541,695.41/12,984.28
  6. Step 6: Final answer
    x = 10,592.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.