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Finding the Fourth Proportional to 21,323.57, 31,984.20 and 6,532.49

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Solution

The fourth proportional to 21,323.57, 31,984.20 and 6,532.49 is: 9,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.57 : 31,984.20 = 6,532.49 : x
  2. Step 2: Convert to fraction form
    21,323.57/31,984.20 = 6,532.49/x
  3. Step 3: Cross multiply
    21,323.57x = 31,984.20 × 6,532.49
  4. Step 4: Simplify right side
    21,323.57x = 208,936,306.74
  5. Step 5: Solve for x
    x = 208,936,306.74/21,323.57
  6. Step 6: Final answer
    x = 9,798.38

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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.