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Finding the Fourth Proportional to 20,587.80, 30,857.86 and 9,471.16

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Solution

The fourth proportional to 20,587.80, 30,857.86 and 9,471.16 is: 14,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.80 : 30,857.86 = 9,471.16 : x
  2. Step 2: Convert to fraction form
    20,587.80/30,857.86 = 9,471.16/x
  3. Step 3: Cross multiply
    20,587.80x = 30,857.86 × 9,471.16
  4. Step 4: Simplify right side
    20,587.80x = 292,259,729.32
  5. Step 5: Solve for x
    x = 292,259,729.32/20,587.80
  6. Step 6: Final answer
    x = 14,195.77

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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.