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Finding the Fourth Proportional to 25,541, 38,324.46 and 11,693.48

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Solution

The fourth proportional to 25,541, 38,324.46 and 11,693.48 is: 17,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541 : 38,324.46 = 11,693.48 : x
  2. Step 2: Convert to fraction form
    25,541/38,324.46 = 11,693.48/x
  3. Step 3: Cross multiply
    25,541x = 38,324.46 × 11,693.48
  4. Step 4: Simplify right side
    25,541x = 448,146,306.52
  5. Step 5: Solve for x
    x = 448,146,306.52/25,541
  6. Step 6: Final answer
    x = 17,546.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.