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Finding the Fourth Proportional to 21,708.57, 32,567.66 and 9,239.18

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Solution

The fourth proportional to 21,708.57, 32,567.66 and 9,239.18 is: 13,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.57 : 32,567.66 = 9,239.18 : x
  2. Step 2: Convert to fraction form
    21,708.57/32,567.66 = 9,239.18/x
  3. Step 3: Cross multiply
    21,708.57x = 32,567.66 × 9,239.18
  4. Step 4: Simplify right side
    21,708.57x = 300,898,426.72
  5. Step 5: Solve for x
    x = 300,898,426.72/21,708.57
  6. Step 6: Final answer
    x = 13,860.81

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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.