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Finding the Fourth Proportional to 17,600.19, 24,288.56 and 9,641.93

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Solution

The fourth proportional to 17,600.19, 24,288.56 and 9,641.93 is: 13,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.19 : 24,288.56 = 9,641.93 : x
  2. Step 2: Convert to fraction form
    17,600.19/24,288.56 = 9,641.93/x
  3. Step 3: Cross multiply
    17,600.19x = 24,288.56 × 9,641.93
  4. Step 4: Simplify right side
    17,600.19x = 234,188,425.67
  5. Step 5: Solve for x
    x = 234,188,425.67/17,600.19
  6. Step 6: Final answer
    x = 13,306.02

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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.