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Finding the Fourth Proportional to 27,858.35, 38,447.15 and 15,919.38

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Solution

The fourth proportional to 27,858.35, 38,447.15 and 15,919.38 is: 21,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.35 : 38,447.15 = 15,919.38 : x
  2. Step 2: Convert to fraction form
    27,858.35/38,447.15 = 15,919.38/x
  3. Step 3: Cross multiply
    27,858.35x = 38,447.15 × 15,919.38
  4. Step 4: Simplify right side
    27,858.35x = 612,054,711.17
  5. Step 5: Solve for x
    x = 612,054,711.17/27,858.35
  6. Step 6: Final answer
    x = 21,970.25

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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.