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Finding the Fourth Proportional to 22,787.91, 34,170.01 and 10,301.96

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Solution

The fourth proportional to 22,787.91, 34,170.01 and 10,301.96 is: 15,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.91 : 34,170.01 = 10,301.96 : x
  2. Step 2: Convert to fraction form
    22,787.91/34,170.01 = 10,301.96/x
  3. Step 3: Cross multiply
    22,787.91x = 34,170.01 × 10,301.96
  4. Step 4: Simplify right side
    22,787.91x = 352,018,076.22
  5. Step 5: Solve for x
    x = 352,018,076.22/22,787.91
  6. Step 6: Final answer
    x = 15,447.58

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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.