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Finding the Fourth Proportional to 20,666.16, 31,002.48 and 8,179.92

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Solution

The fourth proportional to 20,666.16, 31,002.48 and 8,179.92 is: 12,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.16 : 31,002.48 = 8,179.92 : x
  2. Step 2: Convert to fraction form
    20,666.16/31,002.48 = 8,179.92/x
  3. Step 3: Cross multiply
    20,666.16x = 31,002.48 × 8,179.92
  4. Step 4: Simplify right side
    20,666.16x = 253,597,806.20
  5. Step 5: Solve for x
    x = 253,597,806.20/20,666.16
  6. Step 6: Final answer
    x = 12,271.16

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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.