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Finding the Fourth Proportional to 31,636.27, 43,655.86 and 17,488

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Solution

The fourth proportional to 31,636.27, 43,655.86 and 17,488 is: 24,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636.27 : 43,655.86 = 17,488 : x
  2. Step 2: Convert to fraction form
    31,636.27/43,655.86 = 17,488/x
  3. Step 3: Cross multiply
    31,636.27x = 43,655.86 × 17,488
  4. Step 4: Simplify right side
    31,636.27x = 763,453,679.68
  5. Step 5: Solve for x
    x = 763,453,679.68/31,636.27
  6. Step 6: Final answer
    x = 24,132.23

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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.