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Finding the Fourth Proportional to 22,238.74, 30,684.87 and 13,282.96

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Solution

The fourth proportional to 22,238.74, 30,684.87 and 13,282.96 is: 18,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.74 : 30,684.87 = 13,282.96 : x
  2. Step 2: Convert to fraction form
    22,238.74/30,684.87 = 13,282.96/x
  3. Step 3: Cross multiply
    22,238.74x = 30,684.87 × 13,282.96
  4. Step 4: Simplify right side
    22,238.74x = 407,585,900.82
  5. Step 5: Solve for x
    x = 407,585,900.82/22,238.74
  6. Step 6: Final answer
    x = 18,327.74

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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.