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Finding the Fourth Proportional to 27,678.06, 41,514.01 and 9,908.02

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Solution

The fourth proportional to 27,678.06, 41,514.01 and 9,908.02 is: 14,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.06 : 41,514.01 = 9,908.02 : x
  2. Step 2: Convert to fraction form
    27,678.06/41,514.01 = 9,908.02/x
  3. Step 3: Cross multiply
    27,678.06x = 41,514.01 × 9,908.02
  4. Step 4: Simplify right side
    27,678.06x = 411,321,641.36
  5. Step 5: Solve for x
    x = 411,321,641.36/27,678.06
  6. Step 6: Final answer
    x = 14,860.93

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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.