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Finding the Fourth Proportional to 22,832.97, 31,489.07 and 14,335.88

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Solution

The fourth proportional to 22,832.97, 31,489.07 and 14,335.88 is: 19,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.97 : 31,489.07 = 14,335.88 : x
  2. Step 2: Convert to fraction form
    22,832.97/31,489.07 = 14,335.88/x
  3. Step 3: Cross multiply
    22,832.97x = 31,489.07 × 14,335.88
  4. Step 4: Simplify right side
    22,832.97x = 451,423,407.23
  5. Step 5: Solve for x
    x = 451,423,407.23/22,832.97
  6. Step 6: Final answer
    x = 19,770.69

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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.