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Finding the Fourth Proportional to 27,763.65, 38,286.93 and 23,514.39

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Solution

The fourth proportional to 27,763.65, 38,286.93 and 23,514.39 is: 32,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.65 : 38,286.93 = 23,514.39 : x
  2. Step 2: Convert to fraction form
    27,763.65/38,286.93 = 23,514.39/x
  3. Step 3: Cross multiply
    27,763.65x = 38,286.93 × 23,514.39
  4. Step 4: Simplify right side
    27,763.65x = 900,293,803.92
  5. Step 5: Solve for x
    x = 900,293,803.92/27,763.65
  6. Step 6: Final answer
    x = 32,427.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.