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Finding the Fourth Proportional to 21,829.50, 32,747.00 and 8,502.80

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Solution

The fourth proportional to 21,829.50, 32,747.00 and 8,502.80 is: 12,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.50 : 32,747.00 = 8,502.80 : x
  2. Step 2: Convert to fraction form
    21,829.50/32,747.00 = 8,502.80/x
  3. Step 3: Cross multiply
    21,829.50x = 32,747.00 × 8,502.80
  4. Step 4: Simplify right side
    21,829.50x = 278,440,985.35
  5. Step 5: Solve for x
    x = 278,440,985.35/21,829.50
  6. Step 6: Final answer
    x = 12,755.26

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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.