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Finding the Fourth Proportional to 22,626.12, 33,943.74 and 7,834.71

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Solution

The fourth proportional to 22,626.12, 33,943.74 and 7,834.71 is: 11,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.12 : 33,943.74 = 7,834.71 : x
  2. Step 2: Convert to fraction form
    22,626.12/33,943.74 = 7,834.71/x
  3. Step 3: Cross multiply
    22,626.12x = 33,943.74 × 7,834.71
  4. Step 4: Simplify right side
    22,626.12x = 265,939,359.22
  5. Step 5: Solve for x
    x = 265,939,359.22/22,626.12
  6. Step 6: Final answer
    x = 11,753.64

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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.