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Finding the Fourth Proportional to 27,682.84, 41,538.84 and 12,111.40

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Solution

The fourth proportional to 27,682.84, 41,538.84 and 12,111.40 is: 18,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.84 : 41,538.84 = 12,111.40 : x
  2. Step 2: Convert to fraction form
    27,682.84/41,538.84 = 12,111.40/x
  3. Step 3: Cross multiply
    27,682.84x = 41,538.84 × 12,111.40
  4. Step 4: Simplify right side
    27,682.84x = 503,093,506.78
  5. Step 5: Solve for x
    x = 503,093,506.78/27,682.84
  6. Step 6: Final answer
    x = 18,173.48

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1.5x scale

Why These Related Problems?

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