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Finding the Fourth Proportional to 22,733.09, 34,105.12 and 7,150.71

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Solution

The fourth proportional to 22,733.09, 34,105.12 and 7,150.71 is: 10,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.09 : 34,105.12 = 7,150.71 : x
  2. Step 2: Convert to fraction form
    22,733.09/34,105.12 = 7,150.71/x
  3. Step 3: Cross multiply
    22,733.09x = 34,105.12 × 7,150.71
  4. Step 4: Simplify right side
    22,733.09x = 243,875,932.65
  5. Step 5: Solve for x
    x = 243,875,932.65/22,733.09
  6. Step 6: Final answer
    x = 10,727.80

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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.