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Finding the Fourth Proportional to 31,635.09, 43,655.07 and 17,294.66

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Solution

The fourth proportional to 31,635.09, 43,655.07 and 17,294.66 is: 23,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.09 : 43,655.07 = 17,294.66 : x
  2. Step 2: Convert to fraction form
    31,635.09/43,655.07 = 17,294.66/x
  3. Step 3: Cross multiply
    31,635.09x = 43,655.07 × 17,294.66
  4. Step 4: Simplify right side
    31,635.09x = 754,999,374.65
  5. Step 5: Solve for x
    x = 754,999,374.65/31,635.09
  6. Step 6: Final answer
    x = 23,865.88

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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.