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Finding the Fourth Proportional to 31,006.80, 42,788.86 and 16,860

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Solution

The fourth proportional to 31,006.80, 42,788.86 and 16,860 is: 23,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.80 : 42,788.86 = 16,860 : x
  2. Step 2: Convert to fraction form
    31,006.80/42,788.86 = 16,860/x
  3. Step 3: Cross multiply
    31,006.80x = 42,788.86 × 16,860
  4. Step 4: Simplify right side
    31,006.80x = 721,420,179.60
  5. Step 5: Solve for x
    x = 721,420,179.60/31,006.80
  6. Step 6: Final answer
    x = 23,266.52

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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.