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Finding the Fourth Proportional to 12,039.72, 18,054.92 and 4,140.74

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Solution

The fourth proportional to 12,039.72, 18,054.92 and 4,140.74 is: 6,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.72 : 18,054.92 = 4,140.74 : x
  2. Step 2: Convert to fraction form
    12,039.72/18,054.92 = 4,140.74/x
  3. Step 3: Cross multiply
    12,039.72x = 18,054.92 × 4,140.74
  4. Step 4: Simplify right side
    12,039.72x = 74,760,660.08
  5. Step 5: Solve for x
    x = 74,760,660.08/12,039.72
  6. Step 6: Final answer
    x = 6,209.50

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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.