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Finding the Fourth Proportional to 18,231.88, 27,345.33 and 7,146.32

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Solution

The fourth proportional to 18,231.88, 27,345.33 and 7,146.32 is: 10,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.88 : 27,345.33 = 7,146.32 : x
  2. Step 2: Convert to fraction form
    18,231.88/27,345.33 = 7,146.32/x
  3. Step 3: Cross multiply
    18,231.88x = 27,345.33 × 7,146.32
  4. Step 4: Simplify right side
    18,231.88x = 195,418,341.96
  5. Step 5: Solve for x
    x = 195,418,341.96/18,231.88
  6. Step 6: Final answer
    x = 10,718.50

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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.