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Finding the Fourth Proportional to 22,816.86, 34,222.65 and 6,175.90

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Solution

The fourth proportional to 22,816.86, 34,222.65 and 6,175.90 is: 9,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.86 : 34,222.65 = 6,175.90 : x
  2. Step 2: Convert to fraction form
    22,816.86/34,222.65 = 6,175.90/x
  3. Step 3: Cross multiply
    22,816.86x = 34,222.65 × 6,175.90
  4. Step 4: Simplify right side
    22,816.86x = 211,355,664.14
  5. Step 5: Solve for x
    x = 211,355,664.14/22,816.86
  6. Step 6: Final answer
    x = 9,263.14

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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.