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Finding the Fourth Proportional to 12,048.74, 18,073.24 and 5,029.82

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Solution

The fourth proportional to 12,048.74, 18,073.24 and 5,029.82 is: 7,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.74 : 18,073.24 = 5,029.82 : x
  2. Step 2: Convert to fraction form
    12,048.74/18,073.24 = 5,029.82/x
  3. Step 3: Cross multiply
    12,048.74x = 18,073.24 × 5,029.82
  4. Step 4: Simplify right side
    12,048.74x = 90,905,144.02
  5. Step 5: Solve for x
    x = 90,905,144.02/12,048.74
  6. Step 6: Final answer
    x = 7,544.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.