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Finding the Fourth Proportional to 27,514.68, 41,238 and 15,678.38

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Solution

The fourth proportional to 27,514.68, 41,238 and 15,678.38 is: 23,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.68 : 41,238 = 15,678.38 : x
  2. Step 2: Convert to fraction form
    27,514.68/41,238 = 15,678.38/x
  3. Step 3: Cross multiply
    27,514.68x = 41,238 × 15,678.38
  4. Step 4: Simplify right side
    27,514.68x = 646,544,828.25
  5. Step 5: Solve for x
    x = 646,544,828.25/27,514.68
  6. Step 6: Final answer
    x = 23,498.18

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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.