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Finding the Fourth Proportional to 21,834.65, 32,751.98 and 17,431.49

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Solution

The fourth proportional to 21,834.65, 32,751.98 and 17,431.49 is: 26,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.65 : 32,751.98 = 17,431.49 : x
  2. Step 2: Convert to fraction form
    21,834.65/32,751.98 = 17,431.49/x
  3. Step 3: Cross multiply
    21,834.65x = 32,751.98 × 17,431.49
  4. Step 4: Simplify right side
    21,834.65x = 570,915,937.31
  5. Step 5: Solve for x
    x = 570,915,937.31/21,834.65
  6. Step 6: Final answer
    x = 26,147.24

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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.