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Finding the Fourth Proportional to 15,882.68, 23,826.72 and 5,492

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Solution

The fourth proportional to 15,882.68, 23,826.72 and 5,492 is: 8,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.68 : 23,826.72 = 5,492 : x
  2. Step 2: Convert to fraction form
    15,882.68/23,826.72 = 5,492/x
  3. Step 3: Cross multiply
    15,882.68x = 23,826.72 × 5,492
  4. Step 4: Simplify right side
    15,882.68x = 130,856,346.24
  5. Step 5: Solve for x
    x = 130,856,346.24/15,882.68
  6. Step 6: Final answer
    x = 8,238.93

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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.