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Finding the Fourth Proportional to 12,384.24, 17,089.83 and 7,078.95

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Solution

The fourth proportional to 12,384.24, 17,089.83 and 7,078.95 is: 9,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.24 : 17,089.83 = 7,078.95 : x
  2. Step 2: Convert to fraction form
    12,384.24/17,089.83 = 7,078.95/x
  3. Step 3: Cross multiply
    12,384.24x = 17,089.83 × 7,078.95
  4. Step 4: Simplify right side
    12,384.24x = 120,978,052.08
  5. Step 5: Solve for x
    x = 120,978,052.08/12,384.24
  6. Step 6: Final answer
    x = 9,768.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.