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Finding the Fourth Proportional to 27,878.62, 38,471.34 and 15,303.64

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Solution

The fourth proportional to 27,878.62, 38,471.34 and 15,303.64 is: 21,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.62 : 38,471.34 = 15,303.64 : x
  2. Step 2: Convert to fraction form
    27,878.62/38,471.34 = 15,303.64/x
  3. Step 3: Cross multiply
    27,878.62x = 38,471.34 × 15,303.64
  4. Step 4: Simplify right side
    27,878.62x = 588,751,537.68
  5. Step 5: Solve for x
    x = 588,751,537.68/27,878.62
  6. Step 6: Final answer
    x = 21,118.39

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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.