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Finding the Fourth Proportional to 22,824.90, 34,237.43 and 7,029.84

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Solution

The fourth proportional to 22,824.90, 34,237.43 and 7,029.84 is: 10,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.90 : 34,237.43 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    22,824.90/34,237.43 = 7,029.84/x
  3. Step 3: Cross multiply
    22,824.90x = 34,237.43 × 7,029.84
  4. Step 4: Simplify right side
    22,824.90x = 240,683,619.76
  5. Step 5: Solve for x
    x = 240,683,619.76/22,824.90
  6. Step 6: Final answer
    x = 10,544.78

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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.