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Finding the Fourth Proportional to 21,535.80, 32,306.19 and 5,741.04

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Solution

The fourth proportional to 21,535.80, 32,306.19 and 5,741.04 is: 8,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.80 : 32,306.19 = 5,741.04 : x
  2. Step 2: Convert to fraction form
    21,535.80/32,306.19 = 5,741.04/x
  3. Step 3: Cross multiply
    21,535.80x = 32,306.19 × 5,741.04
  4. Step 4: Simplify right side
    21,535.80x = 185,471,129.04
  5. Step 5: Solve for x
    x = 185,471,129.04/21,535.80
  6. Step 6: Final answer
    x = 8,612.22

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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.