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Finding the Fourth Proportional to 27,870.96, 38,449.80 and 15,929.94

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Solution

The fourth proportional to 27,870.96, 38,449.80 and 15,929.94 is: 21,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.96 : 38,449.80 = 15,929.94 : x
  2. Step 2: Convert to fraction form
    27,870.96/38,449.80 = 15,929.94/x
  3. Step 3: Cross multiply
    27,870.96x = 38,449.80 × 15,929.94
  4. Step 4: Simplify right side
    27,870.96x = 612,503,007.01
  5. Step 5: Solve for x
    x = 612,503,007.01/27,870.96
  6. Step 6: Final answer
    x = 21,976.39

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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.