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Finding the Fourth Proportional to 22,007.40, 33,011.10 and 7,974.15

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Solution

The fourth proportional to 22,007.40, 33,011.10 and 7,974.15 is: 11,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.40 : 33,011.10 = 7,974.15 : x
  2. Step 2: Convert to fraction form
    22,007.40/33,011.10 = 7,974.15/x
  3. Step 3: Cross multiply
    22,007.40x = 33,011.10 × 7,974.15
  4. Step 4: Simplify right side
    22,007.40x = 263,235,463.07
  5. Step 5: Solve for x
    x = 263,235,463.07/22,007.40
  6. Step 6: Final answer
    x = 11,961.23

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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.