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Finding the Fourth Proportional to 27,616.96, 38,110.80 and 15,680.08

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Solution

The fourth proportional to 27,616.96, 38,110.80 and 15,680.08 is: 21,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.96 : 38,110.80 = 15,680.08 : x
  2. Step 2: Convert to fraction form
    27,616.96/38,110.80 = 15,680.08/x
  3. Step 3: Cross multiply
    27,616.96x = 38,110.80 × 15,680.08
  4. Step 4: Simplify right side
    27,616.96x = 597,580,392.86
  5. Step 5: Solve for x
    x = 597,580,392.86/27,616.96
  6. Step 6: Final answer
    x = 21,638.17

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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.