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Finding the Fourth Proportional to 12,238.73, 18,358.50 and 5,825.93

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Solution

The fourth proportional to 12,238.73, 18,358.50 and 5,825.93 is: 8,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.73 : 18,358.50 = 5,825.93 : x
  2. Step 2: Convert to fraction form
    12,238.73/18,358.50 = 5,825.93/x
  3. Step 3: Cross multiply
    12,238.73x = 18,358.50 × 5,825.93
  4. Step 4: Simplify right side
    12,238.73x = 106,955,233.19
  5. Step 5: Solve for x
    x = 106,955,233.19/12,238.73
  6. Step 6: Final answer
    x = 8,739.08

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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.