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Finding the Fourth Proportional to 27,295.80, 40,965.30 and 10,663.80

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Solution

The fourth proportional to 27,295.80, 40,965.30 and 10,663.80 is: 16,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.80 : 40,965.30 = 10,663.80 : x
  2. Step 2: Convert to fraction form
    27,295.80/40,965.30 = 10,663.80/x
  3. Step 3: Cross multiply
    27,295.80x = 40,965.30 × 10,663.80
  4. Step 4: Simplify right side
    27,295.80x = 436,845,766.14
  5. Step 5: Solve for x
    x = 436,845,766.14/27,295.80
  6. Step 6: Final answer
    x = 16,004.14

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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.