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Finding the Fourth Proportional to 27,808.28, 41,703.70 and 9,084.05

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Solution

The fourth proportional to 27,808.28, 41,703.70 and 9,084.05 is: 13,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.28 : 41,703.70 = 9,084.05 : x
  2. Step 2: Convert to fraction form
    27,808.28/41,703.70 = 9,084.05/x
  3. Step 3: Cross multiply
    27,808.28x = 41,703.70 × 9,084.05
  4. Step 4: Simplify right side
    27,808.28x = 378,838,391.73
  5. Step 5: Solve for x
    x = 378,838,391.73/27,808.28
  6. Step 6: Final answer
    x = 13,623.22

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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.