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Finding the Fourth Proportional to 18,514.32, 27,775.32 and 6,202

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Solution

The fourth proportional to 18,514.32, 27,775.32 and 6,202 is: 9,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.32 : 27,775.32 = 6,202 : x
  2. Step 2: Convert to fraction form
    18,514.32/27,775.32 = 6,202/x
  3. Step 3: Cross multiply
    18,514.32x = 27,775.32 × 6,202
  4. Step 4: Simplify right side
    18,514.32x = 172,262,534.64
  5. Step 5: Solve for x
    x = 172,262,534.64/18,514.32
  6. Step 6: Final answer
    x = 9,304.29

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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.