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Finding the Fourth Proportional to 27,006.91, 40,514.41 and 9,473.65

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Solution

The fourth proportional to 27,006.91, 40,514.41 and 9,473.65 is: 14,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.91 : 40,514.41 = 9,473.65 : x
  2. Step 2: Convert to fraction form
    27,006.91/40,514.41 = 9,473.65/x
  3. Step 3: Cross multiply
    27,006.91x = 40,514.41 × 9,473.65
  4. Step 4: Simplify right side
    27,006.91x = 383,819,137.72
  5. Step 5: Solve for x
    x = 383,819,137.72/27,006.91
  6. Step 6: Final answer
    x = 14,211.89

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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.