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Finding the Fourth Proportional to 27,678.71, 41,514.83 and 7,689.74

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Solution

The fourth proportional to 27,678.71, 41,514.83 and 7,689.74 is: 11,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.71 : 41,514.83 = 7,689.74 : x
  2. Step 2: Convert to fraction form
    27,678.71/41,514.83 = 7,689.74/x
  3. Step 3: Cross multiply
    27,678.71x = 41,514.83 × 7,689.74
  4. Step 4: Simplify right side
    27,678.71x = 319,238,031.66
  5. Step 5: Solve for x
    x = 319,238,031.66/27,678.71
  6. Step 6: Final answer
    x = 11,533.70

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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.