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Finding the Fourth Proportional to 27,698.84, 41,548.32 and 12,117.68

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Solution

The fourth proportional to 27,698.84, 41,548.32 and 12,117.68 is: 18,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.84 : 41,548.32 = 12,117.68 : x
  2. Step 2: Convert to fraction form
    27,698.84/41,548.32 = 12,117.68/x
  3. Step 3: Cross multiply
    27,698.84x = 41,548.32 × 12,117.68
  4. Step 4: Simplify right side
    27,698.84x = 503,469,246.30
  5. Step 5: Solve for x
    x = 503,469,246.30/27,698.84
  6. Step 6: Final answer
    x = 18,176.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.