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Finding the Fourth Proportional to 23,325.96, 32,189.01 and 12,715.38

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Solution

The fourth proportional to 23,325.96, 32,189.01 and 12,715.38 is: 17,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,325.96 : 32,189.01 = 12,715.38 : x
  2. Step 2: Convert to fraction form
    23,325.96/32,189.01 = 12,715.38/x
  3. Step 3: Cross multiply
    23,325.96x = 32,189.01 × 12,715.38
  4. Step 4: Simplify right side
    23,325.96x = 409,295,493.97
  5. Step 5: Solve for x
    x = 409,295,493.97/23,325.96
  6. Step 6: Final answer
    x = 17,546.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.