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Finding the Fourth Proportional to 22,782.78, 34,162.46 and 10,296.04

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Solution

The fourth proportional to 22,782.78, 34,162.46 and 10,296.04 is: 15,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.78 : 34,162.46 = 10,296.04 : x
  2. Step 2: Convert to fraction form
    22,782.78/34,162.46 = 10,296.04/x
  3. Step 3: Cross multiply
    22,782.78x = 34,162.46 × 10,296.04
  4. Step 4: Simplify right side
    22,782.78x = 351,737,994.99
  5. Step 5: Solve for x
    x = 351,737,994.99/22,782.78
  6. Step 6: Final answer
    x = 15,438.77

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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.