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Finding the Fourth Proportional to 31,263.89, 43,142.49 and 17,114.00

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Solution

The fourth proportional to 31,263.89, 43,142.49 and 17,114.00 is: 23,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,263.89 : 43,142.49 = 17,114.00 : x
  2. Step 2: Convert to fraction form
    31,263.89/43,142.49 = 17,114.00/x
  3. Step 3: Cross multiply
    31,263.89x = 43,142.49 × 17,114.00
  4. Step 4: Simplify right side
    31,263.89x = 738,340,358.15
  5. Step 5: Solve for x
    x = 738,340,358.15/31,263.89
  6. Step 6: Final answer
    x = 23,616.40

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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.