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Finding the Fourth Proportional to 27,382.76, 41,049.18 and 9,603.77

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Solution

The fourth proportional to 27,382.76, 41,049.18 and 9,603.77 is: 14,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.76 : 41,049.18 = 9,603.77 : x
  2. Step 2: Convert to fraction form
    27,382.76/41,049.18 = 9,603.77/x
  3. Step 3: Cross multiply
    27,382.76x = 41,049.18 × 9,603.77
  4. Step 4: Simplify right side
    27,382.76x = 394,226,678.16
  5. Step 5: Solve for x
    x = 394,226,678.16/27,382.76
  6. Step 6: Final answer
    x = 14,396.89

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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.