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Finding the Fourth Proportional to 17,600.06, 24,287.78 and 9,642.22

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Solution

The fourth proportional to 17,600.06, 24,287.78 and 9,642.22 is: 13,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.06 : 24,287.78 = 9,642.22 : x
  2. Step 2: Convert to fraction form
    17,600.06/24,287.78 = 9,642.22/x
  3. Step 3: Cross multiply
    17,600.06x = 24,287.78 × 9,642.22
  4. Step 4: Simplify right side
    17,600.06x = 234,188,118.07
  5. Step 5: Solve for x
    x = 234,188,118.07/17,600.06
  6. Step 6: Final answer
    x = 13,306.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.