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Finding the Fourth Proportional to 27,858.78, 38,444.88 and 15,111.93

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Solution

The fourth proportional to 27,858.78, 38,444.88 and 15,111.93 is: 20,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.78 : 38,444.88 = 15,111.93 : x
  2. Step 2: Convert to fraction form
    27,858.78/38,444.88 = 15,111.93/x
  3. Step 3: Cross multiply
    27,858.78x = 38,444.88 × 15,111.93
  4. Step 4: Simplify right side
    27,858.78x = 580,976,335.42
  5. Step 5: Solve for x
    x = 580,976,335.42/27,858.78
  6. Step 6: Final answer
    x = 20,854.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.