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Finding the Fourth Proportional to 22,833.30, 34,249.46 and 10,521.30

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Solution

The fourth proportional to 22,833.30, 34,249.46 and 10,521.30 is: 15,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.30 : 34,249.46 = 10,521.30 : x
  2. Step 2: Convert to fraction form
    22,833.30/34,249.46 = 10,521.30/x
  3. Step 3: Cross multiply
    22,833.30x = 34,249.46 × 10,521.30
  4. Step 4: Simplify right side
    22,833.30x = 360,348,843.50
  5. Step 5: Solve for x
    x = 360,348,843.50/22,833.30
  6. Step 6: Final answer
    x = 15,781.72

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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.