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Finding the Fourth Proportional to 22,830, 34,197.83 and 13,441.09

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Solution

The fourth proportional to 22,830, 34,197.83 and 13,441.09 is: 20,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830 : 34,197.83 = 13,441.09 : x
  2. Step 2: Convert to fraction form
    22,830/34,197.83 = 13,441.09/x
  3. Step 3: Cross multiply
    22,830x = 34,197.83 × 13,441.09
  4. Step 4: Simplify right side
    22,830x = 459,656,110.83
  5. Step 5: Solve for x
    x = 459,656,110.83/22,830
  6. Step 6: Final answer
    x = 20,133.86

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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.