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Finding the Fourth Proportional to 22,041, 33,017.04 and 10,178.04

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Solution

The fourth proportional to 22,041, 33,017.04 and 10,178.04 is: 15,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041 : 33,017.04 = 10,178.04 : x
  2. Step 2: Convert to fraction form
    22,041/33,017.04 = 10,178.04/x
  3. Step 3: Cross multiply
    22,041x = 33,017.04 × 10,178.04
  4. Step 4: Simplify right side
    22,041x = 336,048,753.80
  5. Step 5: Solve for x
    x = 336,048,753.80/22,041
  6. Step 6: Final answer
    x = 15,246.53

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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.