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Finding the Fourth Proportional to 22,002.65, 33,007.42 and 7,961.20

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Solution

The fourth proportional to 22,002.65, 33,007.42 and 7,961.20 is: 11,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.65 : 33,007.42 = 7,961.20 : x
  2. Step 2: Convert to fraction form
    22,002.65/33,007.42 = 7,961.20/x
  3. Step 3: Cross multiply
    22,002.65x = 33,007.42 × 7,961.20
  4. Step 4: Simplify right side
    22,002.65x = 262,778,599.54
  5. Step 5: Solve for x
    x = 262,778,599.54/22,002.65
  6. Step 6: Final answer
    x = 11,943.04

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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.