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Finding the Fourth Proportional to 12,049.69, 18,058.13 and 7,659.28

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Solution

The fourth proportional to 12,049.69, 18,058.13 and 7,659.28 is: 11,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.69 : 18,058.13 = 7,659.28 : x
  2. Step 2: Convert to fraction form
    12,049.69/18,058.13 = 7,659.28/x
  3. Step 3: Cross multiply
    12,049.69x = 18,058.13 × 7,659.28
  4. Step 4: Simplify right side
    12,049.69x = 138,312,326.96
  5. Step 5: Solve for x
    x = 138,312,326.96/12,049.69
  6. Step 6: Final answer
    x = 11,478.50

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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.