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Finding the Fourth Proportional to 19,452, 26,842.16 and 10,951.41

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Solution

The fourth proportional to 19,452, 26,842.16 and 10,951.41 is: 15,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,452 : 26,842.16 = 10,951.41 : x
  2. Step 2: Convert to fraction form
    19,452/26,842.16 = 10,951.41/x
  3. Step 3: Cross multiply
    19,452x = 26,842.16 × 10,951.41
  4. Step 4: Simplify right side
    19,452x = 293,959,444.69
  5. Step 5: Solve for x
    x = 293,959,444.69/19,452
  6. Step 6: Final answer
    x = 15,112.04

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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.