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Finding the Fourth Proportional to 27,864.78, 41,795.13 and 13,077.06

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Solution

The fourth proportional to 27,864.78, 41,795.13 and 13,077.06 is: 19,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.78 : 41,795.13 = 13,077.06 : x
  2. Step 2: Convert to fraction form
    27,864.78/41,795.13 = 13,077.06/x
  3. Step 3: Cross multiply
    27,864.78x = 41,795.13 × 13,077.06
  4. Step 4: Simplify right side
    27,864.78x = 546,557,422.72
  5. Step 5: Solve for x
    x = 546,557,422.72/27,864.78
  6. Step 6: Final answer
    x = 19,614.63

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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.