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Finding the Fourth Proportional to 13,877.60, 19,151.78 and 7,909.79

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Solution

The fourth proportional to 13,877.60, 19,151.78 and 7,909.79 is: 10,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.60 : 19,151.78 = 7,909.79 : x
  2. Step 2: Convert to fraction form
    13,877.60/19,151.78 = 7,909.79/x
  3. Step 3: Cross multiply
    13,877.60x = 19,151.78 × 7,909.79
  4. Step 4: Simplify right side
    13,877.60x = 151,486,422.62
  5. Step 5: Solve for x
    x = 151,486,422.62/13,877.60
  6. Step 6: Final answer
    x = 10,915.90

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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.