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Finding the Fourth Proportional to 21,717.80, 32,562.10 and 8,563.40

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Solution

The fourth proportional to 21,717.80, 32,562.10 and 8,563.40 is: 12,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717.80 : 32,562.10 = 8,563.40 : x
  2. Step 2: Convert to fraction form
    21,717.80/32,562.10 = 8,563.40/x
  3. Step 3: Cross multiply
    21,717.80x = 32,562.10 × 8,563.40
  4. Step 4: Simplify right side
    21,717.80x = 278,842,287.14
  5. Step 5: Solve for x
    x = 278,842,287.14/21,717.80
  6. Step 6: Final answer
    x = 12,839.34

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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.