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Finding the Fourth Proportional to 23,001.26, 31,732.74 and 12,927.38

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Solution

The fourth proportional to 23,001.26, 31,732.74 and 12,927.38 is: 17,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001.26 : 31,732.74 = 12,927.38 : x
  2. Step 2: Convert to fraction form
    23,001.26/31,732.74 = 12,927.38/x
  3. Step 3: Cross multiply
    23,001.26x = 31,732.74 × 12,927.38
  4. Step 4: Simplify right side
    23,001.26x = 410,221,029.76
  5. Step 5: Solve for x
    x = 410,221,029.76/23,001.26
  6. Step 6: Final answer
    x = 17,834.72

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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.