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Finding the Fourth Proportional to 12,238.85, 18,357.12 and 5,665.07

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Solution

The fourth proportional to 12,238.85, 18,357.12 and 5,665.07 is: 8,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.85 : 18,357.12 = 5,665.07 : x
  2. Step 2: Convert to fraction form
    12,238.85/18,357.12 = 5,665.07/x
  3. Step 3: Cross multiply
    12,238.85x = 18,357.12 × 5,665.07
  4. Step 4: Simplify right side
    12,238.85x = 103,994,278.01
  5. Step 5: Solve for x
    x = 103,994,278.01/12,238.85
  6. Step 6: Final answer
    x = 8,497.07

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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.