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Finding the Fourth Proportional to 18,514.84, 27,775.14 and 6,031.96

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Solution

The fourth proportional to 18,514.84, 27,775.14 and 6,031.96 is: 9,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.84 : 27,775.14 = 6,031.96 : x
  2. Step 2: Convert to fraction form
    18,514.84/27,775.14 = 6,031.96/x
  3. Step 3: Cross multiply
    18,514.84x = 27,775.14 × 6,031.96
  4. Step 4: Simplify right side
    18,514.84x = 167,538,570.43
  5. Step 5: Solve for x
    x = 167,538,570.43/18,514.84
  6. Step 6: Final answer
    x = 9,048.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.