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Finding the Fourth Proportional to 22,673.84, 34,012.20 and 6,033.60

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Solution

The fourth proportional to 22,673.84, 34,012.20 and 6,033.60 is: 9,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.84 : 34,012.20 = 6,033.60 : x
  2. Step 2: Convert to fraction form
    22,673.84/34,012.20 = 6,033.60/x
  3. Step 3: Cross multiply
    22,673.84x = 34,012.20 × 6,033.60
  4. Step 4: Simplify right side
    22,673.84x = 205,216,009.92
  5. Step 5: Solve for x
    x = 205,216,009.92/22,673.84
  6. Step 6: Final answer
    x = 9,050.78

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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.