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Finding the Fourth Proportional to 22,947.88, 31,660.50 and 13,992.12

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Solution

The fourth proportional to 22,947.88, 31,660.50 and 13,992.12 is: 19,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.88 : 31,660.50 = 13,992.12 : x
  2. Step 2: Convert to fraction form
    22,947.88/31,660.50 = 13,992.12/x
  3. Step 3: Cross multiply
    22,947.88x = 31,660.50 × 13,992.12
  4. Step 4: Simplify right side
    22,947.88x = 442,997,515.26
  5. Step 5: Solve for x
    x = 442,997,515.26/22,947.88
  6. Step 6: Final answer
    x = 19,304.51

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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.