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Finding the Fourth Proportional to 23,191.20, 31,993.92 and 15,642.40

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Solution

The fourth proportional to 23,191.20, 31,993.92 and 15,642.40 is: 21,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.20 : 31,993.92 = 15,642.40 : x
  2. Step 2: Convert to fraction form
    23,191.20/31,993.92 = 15,642.40/x
  3. Step 3: Cross multiply
    23,191.20x = 31,993.92 × 15,642.40
  4. Step 4: Simplify right side
    23,191.20x = 500,461,694.21
  5. Step 5: Solve for x
    x = 500,461,694.21/23,191.20
  6. Step 6: Final answer
    x = 21,579.81

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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.