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Finding the Fourth Proportional to 27,788.82, 41,687.55 and 9,316.50

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Solution

The fourth proportional to 27,788.82, 41,687.55 and 9,316.50 is: 13,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.82 : 41,687.55 = 9,316.50 : x
  2. Step 2: Convert to fraction form
    27,788.82/41,687.55 = 9,316.50/x
  3. Step 3: Cross multiply
    27,788.82x = 41,687.55 × 9,316.50
  4. Step 4: Simplify right side
    27,788.82x = 388,382,059.58
  5. Step 5: Solve for x
    x = 388,382,059.58/27,788.82
  6. Step 6: Final answer
    x = 13,976.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.