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Finding the Fourth Proportional to 22,775.90, 34,153.78 and 10,295.42

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Solution

The fourth proportional to 22,775.90, 34,153.78 and 10,295.42 is: 15,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.90 : 34,153.78 = 10,295.42 : x
  2. Step 2: Convert to fraction form
    22,775.90/34,153.78 = 10,295.42/x
  3. Step 3: Cross multiply
    22,775.90x = 34,153.78 × 10,295.42
  4. Step 4: Simplify right side
    22,775.90x = 351,627,509.69
  5. Step 5: Solve for x
    x = 351,627,509.69/22,775.90
  6. Step 6: Final answer
    x = 15,438.58

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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.