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Finding the Fourth Proportional to 20,574.85, 30,858.33 and 10,034.28

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Solution

The fourth proportional to 20,574.85, 30,858.33 and 10,034.28 is: 15,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.85 : 30,858.33 = 10,034.28 : x
  2. Step 2: Convert to fraction form
    20,574.85/30,858.33 = 10,034.28/x
  3. Step 3: Cross multiply
    20,574.85x = 30,858.33 × 10,034.28
  4. Step 4: Simplify right side
    20,574.85x = 309,641,123.55
  5. Step 5: Solve for x
    x = 309,641,123.55/20,574.85
  6. Step 6: Final answer
    x = 15,049.50

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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.