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Finding the Fourth Proportional to 13,987.32, 19,308.78 and 9,209.76

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Solution

The fourth proportional to 13,987.32, 19,308.78 and 9,209.76 is: 12,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.32 : 19,308.78 = 9,209.76 : x
  2. Step 2: Convert to fraction form
    13,987.32/19,308.78 = 9,209.76/x
  3. Step 3: Cross multiply
    13,987.32x = 19,308.78 × 9,209.76
  4. Step 4: Simplify right side
    13,987.32x = 177,829,229.69
  5. Step 5: Solve for x
    x = 177,829,229.69/13,987.32
  6. Step 6: Final answer
    x = 12,713.60

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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.