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Finding the Fourth Proportional to 23,152.38, 31,950.28 and 12,542.10

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Solution

The fourth proportional to 23,152.38, 31,950.28 and 12,542.10 is: 17,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.38 : 31,950.28 = 12,542.10 : x
  2. Step 2: Convert to fraction form
    23,152.38/31,950.28 = 12,542.10/x
  3. Step 3: Cross multiply
    23,152.38x = 31,950.28 × 12,542.10
  4. Step 4: Simplify right side
    23,152.38x = 400,723,447.04
  5. Step 5: Solve for x
    x = 400,723,447.04/23,152.38
  6. Step 6: Final answer
    x = 17,308.09

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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.