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Finding the Fourth Proportional to 27,656.84, 38,169.38 and 16,908.01

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Solution

The fourth proportional to 27,656.84, 38,169.38 and 16,908.01 is: 23,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.84 : 38,169.38 = 16,908.01 : x
  2. Step 2: Convert to fraction form
    27,656.84/38,169.38 = 16,908.01/x
  3. Step 3: Cross multiply
    27,656.84x = 38,169.38 × 16,908.01
  4. Step 4: Simplify right side
    27,656.84x = 645,368,205.58
  5. Step 5: Solve for x
    x = 645,368,205.58/27,656.84
  6. Step 6: Final answer
    x = 23,334.85

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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.