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Finding the Fourth Proportional to 27,098.25, 40,646.16 and 11,296.77

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Solution

The fourth proportional to 27,098.25, 40,646.16 and 11,296.77 is: 16,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.25 : 40,646.16 = 11,296.77 : x
  2. Step 2: Convert to fraction form
    27,098.25/40,646.16 = 11,296.77/x
  3. Step 3: Cross multiply
    27,098.25x = 40,646.16 × 11,296.77
  4. Step 4: Simplify right side
    27,098.25x = 459,170,320.90
  5. Step 5: Solve for x
    x = 459,170,320.90/27,098.25
  6. Step 6: Final answer
    x = 16,944.65

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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.