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Finding the Fourth Proportional to 27,690.78, 38,214.06 and 15,116.34

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Solution

The fourth proportional to 27,690.78, 38,214.06 and 15,116.34 is: 20,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.78 : 38,214.06 = 15,116.34 : x
  2. Step 2: Convert to fraction form
    27,690.78/38,214.06 = 15,116.34/x
  3. Step 3: Cross multiply
    27,690.78x = 38,214.06 × 15,116.34
  4. Step 4: Simplify right side
    27,690.78x = 577,656,723.74
  5. Step 5: Solve for x
    x = 577,656,723.74/27,690.78
  6. Step 6: Final answer
    x = 20,860.98

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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.