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Finding the Fourth Proportional to 31,000.80, 42,780.60 and 16,854

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Solution

The fourth proportional to 31,000.80, 42,780.60 and 16,854 is: 23,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.80 : 42,780.60 = 16,854 : x
  2. Step 2: Convert to fraction form
    31,000.80/42,780.60 = 16,854/x
  3. Step 3: Cross multiply
    31,000.80x = 42,780.60 × 16,854
  4. Step 4: Simplify right side
    31,000.80x = 721,024,232.40
  5. Step 5: Solve for x
    x = 721,024,232.40/31,000.80
  6. Step 6: Final answer
    x = 23,258.25

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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.