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Finding the Fourth Proportional to 17,600.09, 24,288.71 and 9,642.33

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Solution

The fourth proportional to 17,600.09, 24,288.71 and 9,642.33 is: 13,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.09 : 24,288.71 = 9,642.33 : x
  2. Step 2: Convert to fraction form
    17,600.09/24,288.71 = 9,642.33/x
  3. Step 3: Cross multiply
    17,600.09x = 24,288.71 × 9,642.33
  4. Step 4: Simplify right side
    17,600.09x = 234,199,708.88
  5. Step 5: Solve for x
    x = 234,199,708.88/17,600.09
  6. Step 6: Final answer
    x = 13,306.74

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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.