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Finding the Fourth Proportional to 15,963.05, 23,959.34 and 8,071.13

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Solution

The fourth proportional to 15,963.05, 23,959.34 and 8,071.13 is: 12,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.05 : 23,959.34 = 8,071.13 : x
  2. Step 2: Convert to fraction form
    15,963.05/23,959.34 = 8,071.13/x
  3. Step 3: Cross multiply
    15,963.05x = 23,959.34 × 8,071.13
  4. Step 4: Simplify right side
    15,963.05x = 193,378,947.85
  5. Step 5: Solve for x
    x = 193,378,947.85/15,963.05
  6. Step 6: Final answer
    x = 12,114.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.