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Finding the Fourth Proportional to 20,980.16, 31,475.52 and 17,238.20

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Solution

The fourth proportional to 20,980.16, 31,475.52 and 17,238.20 is: 25,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.16 : 31,475.52 = 17,238.20 : x
  2. Step 2: Convert to fraction form
    20,980.16/31,475.52 = 17,238.20/x
  3. Step 3: Cross multiply
    20,980.16x = 31,475.52 × 17,238.20
  4. Step 4: Simplify right side
    20,980.16x = 542,581,308.86
  5. Step 5: Solve for x
    x = 542,581,308.86/20,980.16
  6. Step 6: Final answer
    x = 25,861.64

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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.