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Finding the Fourth Proportional to 12,351.74, 18,529.13 and 4,029.53

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Solution

The fourth proportional to 12,351.74, 18,529.13 and 4,029.53 is: 6,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.74 : 18,529.13 = 4,029.53 : x
  2. Step 2: Convert to fraction form
    12,351.74/18,529.13 = 4,029.53/x
  3. Step 3: Cross multiply
    12,351.74x = 18,529.13 × 4,029.53
  4. Step 4: Simplify right side
    12,351.74x = 74,663,572.42
  5. Step 5: Solve for x
    x = 74,663,572.42/12,351.74
  6. Step 6: Final answer
    x = 6,044.78

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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.