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Finding the Fourth Proportional to 31,806.40, 43,892.88 and 17,658.88

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Solution

The fourth proportional to 31,806.40, 43,892.88 and 17,658.88 is: 24,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.40 : 43,892.88 = 17,658.88 : x
  2. Step 2: Convert to fraction form
    31,806.40/43,892.88 = 17,658.88/x
  3. Step 3: Cross multiply
    31,806.40x = 43,892.88 × 17,658.88
  4. Step 4: Simplify right side
    31,806.40x = 775,099,100.77
  5. Step 5: Solve for x
    x = 775,099,100.77/31,806.40
  6. Step 6: Final answer
    x = 24,369.28

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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.