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Finding the Fourth Proportional to 15,833.28, 23,734.26 and 7,498.65

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Solution

The fourth proportional to 15,833.28, 23,734.26 and 7,498.65 is: 11,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.28 : 23,734.26 = 7,498.65 : x
  2. Step 2: Convert to fraction form
    15,833.28/23,734.26 = 7,498.65/x
  3. Step 3: Cross multiply
    15,833.28x = 23,734.26 × 7,498.65
  4. Step 4: Simplify right side
    15,833.28x = 177,974,908.75
  5. Step 5: Solve for x
    x = 177,974,908.75/15,833.28
  6. Step 6: Final answer
    x = 11,240.56

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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.