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Finding the Fourth Proportional to 31,616.16, 43,628.14 and 17,469.52

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Solution

The fourth proportional to 31,616.16, 43,628.14 and 17,469.52 is: 24,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.16 : 43,628.14 = 17,469.52 : x
  2. Step 2: Convert to fraction form
    31,616.16/43,628.14 = 17,469.52/x
  3. Step 3: Cross multiply
    31,616.16x = 43,628.14 × 17,469.52
  4. Step 4: Simplify right side
    31,616.16x = 762,162,664.29
  5. Step 5: Solve for x
    x = 762,162,664.29/31,616.16
  6. Step 6: Final answer
    x = 24,106.74

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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.