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Finding the Fourth Proportional to 22,289.16, 30,758.85 and 12,218.16

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Solution

The fourth proportional to 22,289.16, 30,758.85 and 12,218.16 is: 16,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.16 : 30,758.85 = 12,218.16 : x
  2. Step 2: Convert to fraction form
    22,289.16/30,758.85 = 12,218.16/x
  3. Step 3: Cross multiply
    22,289.16x = 30,758.85 × 12,218.16
  4. Step 4: Simplify right side
    22,289.16x = 375,816,550.72
  5. Step 5: Solve for x
    x = 375,816,550.72/22,289.16
  6. Step 6: Final answer
    x = 16,860.96

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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.