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Finding the Fourth Proportional to 31,653.25, 43,677.70 and 17,504.17

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Solution

The fourth proportional to 31,653.25, 43,677.70 and 17,504.17 is: 24,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.25 : 43,677.70 = 17,504.17 : x
  2. Step 2: Convert to fraction form
    31,653.25/43,677.70 = 17,504.17/x
  3. Step 3: Cross multiply
    31,653.25x = 43,677.70 × 17,504.17
  4. Step 4: Simplify right side
    31,653.25x = 764,541,886.01
  5. Step 5: Solve for x
    x = 764,541,886.01/31,653.25
  6. Step 6: Final answer
    x = 24,153.66

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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.