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Finding the Fourth Proportional to 23,167.95, 31,947.88 and 19,821.84

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Solution

The fourth proportional to 23,167.95, 31,947.88 and 19,821.84 is: 27,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.95 : 31,947.88 = 19,821.84 : x
  2. Step 2: Convert to fraction form
    23,167.95/31,947.88 = 19,821.84/x
  3. Step 3: Cross multiply
    23,167.95x = 31,947.88 × 19,821.84
  4. Step 4: Simplify right side
    23,167.95x = 633,265,765.70
  5. Step 5: Solve for x
    x = 633,265,765.70/23,167.95
  6. Step 6: Final answer
    x = 27,333.70

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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.