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Finding the Fourth Proportional to 12,915.30, 17,818.86 and 7,877.70

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Solution

The fourth proportional to 12,915.30, 17,818.86 and 7,877.70 is: 10,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.30 : 17,818.86 = 7,877.70 : x
  2. Step 2: Convert to fraction form
    12,915.30/17,818.86 = 7,877.70/x
  3. Step 3: Cross multiply
    12,915.30x = 17,818.86 × 7,877.70
  4. Step 4: Simplify right side
    12,915.30x = 140,371,633.42
  5. Step 5: Solve for x
    x = 140,371,633.42/12,915.30
  6. Step 6: Final answer
    x = 10,868.63

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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.