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Finding the Fourth Proportional to 19,781.80, 29,675.61 and 5,740.00

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Solution

The fourth proportional to 19,781.80, 29,675.61 and 5,740.00 is: 8,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.80 : 29,675.61 = 5,740.00 : x
  2. Step 2: Convert to fraction form
    19,781.80/29,675.61 = 5,740.00/x
  3. Step 3: Cross multiply
    19,781.80x = 29,675.61 × 5,740.00
  4. Step 4: Simplify right side
    19,781.80x = 170,337,944.43
  5. Step 5: Solve for x
    x = 170,337,944.43/19,781.80
  6. Step 6: Final answer
    x = 8,610.84

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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.