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Finding the Fourth Proportional to 14,004.10, 20,987.70 and 10,288.90

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Solution

The fourth proportional to 14,004.10, 20,987.70 and 10,288.90 is: 15,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.10 : 20,987.70 = 10,288.90 : x
  2. Step 2: Convert to fraction form
    14,004.10/20,987.70 = 10,288.90/x
  3. Step 3: Cross multiply
    14,004.10x = 20,987.70 × 10,288.90
  4. Step 4: Simplify right side
    14,004.10x = 215,940,346.53
  5. Step 5: Solve for x
    x = 215,940,346.53/14,004.10
  6. Step 6: Final answer
    x = 15,419.79

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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.