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Finding the Fourth Proportional to 13,778.28, 20,666.97 and 5,987.10

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Solution

The fourth proportional to 13,778.28, 20,666.97 and 5,987.10 is: 8,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.28 : 20,666.97 = 5,987.10 : x
  2. Step 2: Convert to fraction form
    13,778.28/20,666.97 = 5,987.10/x
  3. Step 3: Cross multiply
    13,778.28x = 20,666.97 × 5,987.10
  4. Step 4: Simplify right side
    13,778.28x = 123,735,138.59
  5. Step 5: Solve for x
    x = 123,735,138.59/13,778.28
  6. Step 6: Final answer
    x = 8,980.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.