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Finding the Fourth Proportional to 23,751.96, 35,632.80 and 8,167.56

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Solution

The fourth proportional to 23,751.96, 35,632.80 and 8,167.56 is: 12,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.96 : 35,632.80 = 8,167.56 : x
  2. Step 2: Convert to fraction form
    23,751.96/35,632.80 = 8,167.56/x
  3. Step 3: Cross multiply
    23,751.96x = 35,632.80 × 8,167.56
  4. Step 4: Simplify right side
    23,751.96x = 291,033,031.97
  5. Step 5: Solve for x
    x = 291,033,031.97/23,751.96
  6. Step 6: Final answer
    x = 12,253.01

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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.