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Finding the Fourth Proportional to 27,868.88, 41,809.68 and 9,150.50

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Solution

The fourth proportional to 27,868.88, 41,809.68 and 9,150.50 is: 13,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868.88 : 41,809.68 = 9,150.50 : x
  2. Step 2: Convert to fraction form
    27,868.88/41,809.68 = 9,150.50/x
  3. Step 3: Cross multiply
    27,868.88x = 41,809.68 × 9,150.50
  4. Step 4: Simplify right side
    27,868.88x = 382,579,267.79
  5. Step 5: Solve for x
    x = 382,579,267.79/27,868.88
  6. Step 6: Final answer
    x = 13,727.83

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