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Finding the Fourth Proportional to 22,833.84, 34,250.24 and 10,521.84

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Solution

The fourth proportional to 22,833.84, 34,250.24 and 10,521.84 is: 15,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.84 : 34,250.24 = 10,521.84 : x
  2. Step 2: Convert to fraction form
    22,833.84/34,250.24 = 10,521.84/x
  3. Step 3: Cross multiply
    22,833.84x = 34,250.24 × 10,521.84
  4. Step 4: Simplify right side
    22,833.84x = 360,375,545.24
  5. Step 5: Solve for x
    x = 360,375,545.24/22,833.84
  6. Step 6: Final answer
    x = 15,782.52

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