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Finding the Fourth Proportional to 23,145.59, 31,940.84 and 12,535.22

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Solution

The fourth proportional to 23,145.59, 31,940.84 and 12,535.22 is: 17,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.59 : 31,940.84 = 12,535.22 : x
  2. Step 2: Convert to fraction form
    23,145.59/31,940.84 = 12,535.22/x
  3. Step 3: Cross multiply
    23,145.59x = 31,940.84 × 12,535.22
  4. Step 4: Simplify right side
    23,145.59x = 400,385,456.38
  5. Step 5: Solve for x
    x = 400,385,456.38/23,145.59
  6. Step 6: Final answer
    x = 17,298.56

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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.