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Finding the Fourth Proportional to 13,877.88, 19,151.42 and 7,909.58

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Solution

The fourth proportional to 13,877.88, 19,151.42 and 7,909.58 is: 10,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.88 : 19,151.42 = 7,909.58 : x
  2. Step 2: Convert to fraction form
    13,877.88/19,151.42 = 7,909.58/x
  3. Step 3: Cross multiply
    13,877.88x = 19,151.42 × 7,909.58
  4. Step 4: Simplify right side
    13,877.88x = 151,479,553.30
  5. Step 5: Solve for x
    x = 151,479,553.30/13,877.88
  6. Step 6: Final answer
    x = 10,915.18

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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.