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Finding the Fourth Proportional to 22,271.12, 33,406.62 and 9,123.50

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Solution

The fourth proportional to 22,271.12, 33,406.62 and 9,123.50 is: 13,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.12 : 33,406.62 = 9,123.50 : x
  2. Step 2: Convert to fraction form
    22,271.12/33,406.62 = 9,123.50/x
  3. Step 3: Cross multiply
    22,271.12x = 33,406.62 × 9,123.50
  4. Step 4: Simplify right side
    22,271.12x = 304,785,297.57
  5. Step 5: Solve for x
    x = 304,785,297.57/22,271.12
  6. Step 6: Final answer
    x = 13,685.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.