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Finding the Fourth Proportional to 27,833.70, 41,754.60 and 9,109.20

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Solution

The fourth proportional to 27,833.70, 41,754.60 and 9,109.20 is: 13,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.70 : 41,754.60 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    27,833.70/41,754.60 = 9,109.20/x
  3. Step 3: Cross multiply
    27,833.70x = 41,754.60 × 9,109.20
  4. Step 4: Simplify right side
    27,833.70x = 380,351,002.32
  5. Step 5: Solve for x
    x = 380,351,002.32/27,833.70
  6. Step 6: Final answer
    x = 13,665.13

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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.