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Finding the Fourth Proportional to 15,694.52, 23,541.78 and 5,306

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Solution

The fourth proportional to 15,694.52, 23,541.78 and 5,306 is: 7,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.52 : 23,541.78 = 5,306 : x
  2. Step 2: Convert to fraction form
    15,694.52/23,541.78 = 5,306/x
  3. Step 3: Cross multiply
    15,694.52x = 23,541.78 × 5,306
  4. Step 4: Simplify right side
    15,694.52x = 124,912,684.68
  5. Step 5: Solve for x
    x = 124,912,684.68/15,694.52
  6. Step 6: Final answer
    x = 7,959.00

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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.