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Finding the Fourth Proportional to 21,223.65, 31,843.67 and 6,432.69

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Solution

The fourth proportional to 21,223.65, 31,843.67 and 6,432.69 is: 9,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.65 : 31,843.67 = 6,432.69 : x
  2. Step 2: Convert to fraction form
    21,223.65/31,843.67 = 6,432.69/x
  3. Step 3: Cross multiply
    21,223.65x = 31,843.67 × 6,432.69
  4. Step 4: Simplify right side
    21,223.65x = 204,840,457.57
  5. Step 5: Solve for x
    x = 204,840,457.57/21,223.65
  6. Step 6: Final answer
    x = 9,651.52

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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.