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Finding the Fourth Proportional to 20,565.80, 30,851.10 and 13,176.20

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Solution

The fourth proportional to 20,565.80, 30,851.10 and 13,176.20 is: 19,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.80 : 30,851.10 = 13,176.20 : x
  2. Step 2: Convert to fraction form
    20,565.80/30,851.10 = 13,176.20/x
  3. Step 3: Cross multiply
    20,565.80x = 30,851.10 × 13,176.20
  4. Step 4: Simplify right side
    20,565.80x = 406,500,263.82
  5. Step 5: Solve for x
    x = 406,500,263.82/20,565.80
  6. Step 6: Final answer
    x = 19,765.84

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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.