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Finding the Fourth Proportional to 15,424.80, 23,138.82 and 5,034.12

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Solution

The fourth proportional to 15,424.80, 23,138.82 and 5,034.12 is: 7,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.80 : 23,138.82 = 5,034.12 : x
  2. Step 2: Convert to fraction form
    15,424.80/23,138.82 = 5,034.12/x
  3. Step 3: Cross multiply
    15,424.80x = 23,138.82 × 5,034.12
  4. Step 4: Simplify right side
    15,424.80x = 116,483,596.54
  5. Step 5: Solve for x
    x = 116,483,596.54/15,424.80
  6. Step 6: Final answer
    x = 7,551.71

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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.