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Finding the Fourth Proportional to 20,002.40, 29,966.70 and 11,686.40

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Solution

The fourth proportional to 20,002.40, 29,966.70 and 11,686.40 is: 17,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.40 : 29,966.70 = 11,686.40 : x
  2. Step 2: Convert to fraction form
    20,002.40/29,966.70 = 11,686.40/x
  3. Step 3: Cross multiply
    20,002.40x = 29,966.70 × 11,686.40
  4. Step 4: Simplify right side
    20,002.40x = 350,202,842.88
  5. Step 5: Solve for x
    x = 350,202,842.88/20,002.40
  6. Step 6: Final answer
    x = 17,508.04

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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.