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Finding the Fourth Proportional to 31,634.17, 43,653.45 and 17,486.17

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Solution

The fourth proportional to 31,634.17, 43,653.45 and 17,486.17 is: 24,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.17 : 43,653.45 = 17,486.17 : x
  2. Step 2: Convert to fraction form
    31,634.17/43,653.45 = 17,486.17/x
  3. Step 3: Cross multiply
    31,634.17x = 43,653.45 × 17,486.17
  4. Step 4: Simplify right side
    31,634.17x = 763,331,647.79
  5. Step 5: Solve for x
    x = 763,331,647.79/31,634.17
  6. Step 6: Final answer
    x = 24,129.97

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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.