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Finding the Fourth Proportional to 31,823.40, 43,915.04 and 17,677.14

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Solution

The fourth proportional to 31,823.40, 43,915.04 and 17,677.14 is: 24,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.40 : 43,915.04 = 17,677.14 : x
  2. Step 2: Convert to fraction form
    31,823.40/43,915.04 = 17,677.14/x
  3. Step 3: Cross multiply
    31,823.40x = 43,915.04 × 17,677.14
  4. Step 4: Simplify right side
    31,823.40x = 776,292,310.19
  5. Step 5: Solve for x
    x = 776,292,310.19/31,823.40
  6. Step 6: Final answer
    x = 24,393.76

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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.