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Finding the Fourth Proportional to 23,826.92, 35,752.57 and 10,509.20

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Solution

The fourth proportional to 23,826.92, 35,752.57 and 10,509.20 is: 15,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.92 : 35,752.57 = 10,509.20 : x
  2. Step 2: Convert to fraction form
    23,826.92/35,752.57 = 10,509.20/x
  3. Step 3: Cross multiply
    23,826.92x = 35,752.57 × 10,509.20
  4. Step 4: Simplify right side
    23,826.92x = 375,730,729.88
  5. Step 5: Solve for x
    x = 375,730,729.88/23,826.92
  6. Step 6: Final answer
    x = 15,769.17

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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.