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Finding the Fourth Proportional to 27,482.96, 41,223.51 and 8,764.04

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Solution

The fourth proportional to 27,482.96, 41,223.51 and 8,764.04 is: 13,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.96 : 41,223.51 = 8,764.04 : x
  2. Step 2: Convert to fraction form
    27,482.96/41,223.51 = 8,764.04/x
  3. Step 3: Cross multiply
    27,482.96x = 41,223.51 × 8,764.04
  4. Step 4: Simplify right side
    27,482.96x = 361,284,284.46
  5. Step 5: Solve for x
    x = 361,284,284.46/27,482.96
  6. Step 6: Final answer
    x = 13,145.76

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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.