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Finding the Fourth Proportional to 27,886.72, 41,826.08 and 9,167.52

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Solution

The fourth proportional to 27,886.72, 41,826.08 and 9,167.52 is: 13,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.72 : 41,826.08 = 9,167.52 : x
  2. Step 2: Convert to fraction form
    27,886.72/41,826.08 = 9,167.52/x
  3. Step 3: Cross multiply
    27,886.72x = 41,826.08 × 9,167.52
  4. Step 4: Simplify right side
    27,886.72x = 383,441,424.92
  5. Step 5: Solve for x
    x = 383,441,424.92/27,886.72
  6. Step 6: Final answer
    x = 13,749.97

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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.