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Finding the Fourth Proportional to 17,785.32, 24,543.81 and 9,718.97

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Solution

The fourth proportional to 17,785.32, 24,543.81 and 9,718.97 is: 13,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.32 : 24,543.81 = 9,718.97 : x
  2. Step 2: Convert to fraction form
    17,785.32/24,543.81 = 9,718.97/x
  3. Step 3: Cross multiply
    17,785.32x = 24,543.81 × 9,718.97
  4. Step 4: Simplify right side
    17,785.32x = 238,540,630.96
  5. Step 5: Solve for x
    x = 238,540,630.96/17,785.32
  6. Step 6: Final answer
    x = 13,412.22

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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.