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Finding the Fourth Proportional to 23,041.14, 31,797.21 and 13,609.71

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Solution

The fourth proportional to 23,041.14, 31,797.21 and 13,609.71 is: 18,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.14 : 31,797.21 = 13,609.71 : x
  2. Step 2: Convert to fraction form
    23,041.14/31,797.21 = 13,609.71/x
  3. Step 3: Cross multiply
    23,041.14x = 31,797.21 × 13,609.71
  4. Step 4: Simplify right side
    23,041.14x = 432,750,806.91
  5. Step 5: Solve for x
    x = 432,750,806.91/23,041.14
  6. Step 6: Final answer
    x = 18,781.66

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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.