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Finding the Fourth Proportional to 20,686.64, 31,034.91 and 7,539.62

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Solution

The fourth proportional to 20,686.64, 31,034.91 and 7,539.62 is: 11,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.64 : 31,034.91 = 7,539.62 : x
  2. Step 2: Convert to fraction form
    20,686.64/31,034.91 = 7,539.62/x
  3. Step 3: Cross multiply
    20,686.64x = 31,034.91 × 7,539.62
  4. Step 4: Simplify right side
    20,686.64x = 233,991,428.13
  5. Step 5: Solve for x
    x = 233,991,428.13/20,686.64
  6. Step 6: Final answer
    x = 11,311.23

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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.