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Finding the Fourth Proportional to 20,931.48, 31,403.16 and 8,449.92

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Solution

The fourth proportional to 20,931.48, 31,403.16 and 8,449.92 is: 12,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.48 : 31,403.16 = 8,449.92 : x
  2. Step 2: Convert to fraction form
    20,931.48/31,403.16 = 8,449.92/x
  3. Step 3: Cross multiply
    20,931.48x = 31,403.16 × 8,449.92
  4. Step 4: Simplify right side
    20,931.48x = 265,354,189.75
  5. Step 5: Solve for x
    x = 265,354,189.75/20,931.48
  6. Step 6: Final answer
    x = 12,677.28

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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.