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Finding the Fourth Proportional to 27,899.96, 41,854.04 and 9,176.51

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Solution

The fourth proportional to 27,899.96, 41,854.04 and 9,176.51 is: 13,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.96 : 41,854.04 = 9,176.51 : x
  2. Step 2: Convert to fraction form
    27,899.96/41,854.04 = 9,176.51/x
  3. Step 3: Cross multiply
    27,899.96x = 41,854.04 × 9,176.51
  4. Step 4: Simplify right side
    27,899.96x = 384,074,144.18
  5. Step 5: Solve for x
    x = 384,074,144.18/27,899.96
  6. Step 6: Final answer
    x = 13,766.12

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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.