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Finding the Fourth Proportional to 20,944.16, 31,406.40 and 8,454.08

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Solution

The fourth proportional to 20,944.16, 31,406.40 and 8,454.08 is: 12,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944.16 : 31,406.40 = 8,454.08 : x
  2. Step 2: Convert to fraction form
    20,944.16/31,406.40 = 8,454.08/x
  3. Step 3: Cross multiply
    20,944.16x = 31,406.40 × 8,454.08
  4. Step 4: Simplify right side
    20,944.16x = 265,512,218.11
  5. Step 5: Solve for x
    x = 265,512,218.11/20,944.16
  6. Step 6: Final answer
    x = 12,677.15

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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.