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Finding the Fourth Proportional to 22,041.81, 33,055.71 and 7,247.30

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Solution

The fourth proportional to 22,041.81, 33,055.71 and 7,247.30 is: 10,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041.81 : 33,055.71 = 7,247.30 : x
  2. Step 2: Convert to fraction form
    22,041.81/33,055.71 = 7,247.30/x
  3. Step 3: Cross multiply
    22,041.81x = 33,055.71 × 7,247.30
  4. Step 4: Simplify right side
    22,041.81x = 239,564,481.80
  5. Step 5: Solve for x
    x = 239,564,481.80/22,041.81
  6. Step 6: Final answer
    x = 10,868.64

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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.