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Finding the Fourth Proportional to 27,734.04, 41,599.98 and 9,266.04

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Solution

The fourth proportional to 27,734.04, 41,599.98 and 9,266.04 is: 13,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.04 : 41,599.98 = 9,266.04 : x
  2. Step 2: Convert to fraction form
    27,734.04/41,599.98 = 9,266.04/x
  3. Step 3: Cross multiply
    27,734.04x = 41,599.98 × 9,266.04
  4. Step 4: Simplify right side
    27,734.04x = 385,467,078.68
  5. Step 5: Solve for x
    x = 385,467,078.68/27,734.04
  6. Step 6: Final answer
    x = 13,898.70

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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.