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Finding the Fourth Proportional to 27,678.56, 41,514.76 and 9,908.52

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Solution

The fourth proportional to 27,678.56, 41,514.76 and 9,908.52 is: 14,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.56 : 41,514.76 = 9,908.52 : x
  2. Step 2: Convert to fraction form
    27,678.56/41,514.76 = 9,908.52/x
  3. Step 3: Cross multiply
    27,678.56x = 41,514.76 × 9,908.52
  4. Step 4: Simplify right side
    27,678.56x = 411,349,829.76
  5. Step 5: Solve for x
    x = 411,349,829.76/27,678.56
  6. Step 6: Final answer
    x = 14,861.68

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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.