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Finding the Fourth Proportional to 27,777.52, 41,673.48 and 11,138.14

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Solution

The fourth proportional to 27,777.52, 41,673.48 and 11,138.14 is: 16,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.52 : 41,673.48 = 11,138.14 : x
  2. Step 2: Convert to fraction form
    27,777.52/41,673.48 = 11,138.14/x
  3. Step 3: Cross multiply
    27,777.52x = 41,673.48 × 11,138.14
  4. Step 4: Simplify right side
    27,777.52x = 464,165,054.53
  5. Step 5: Solve for x
    x = 464,165,054.53/27,777.52
  6. Step 6: Final answer
    x = 16,710.10

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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.