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Finding the Fourth Proportional to 22,426.68, 33,643.62 and 6,843

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Solution

The fourth proportional to 22,426.68, 33,643.62 and 6,843 is: 10,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.68 : 33,643.62 = 6,843 : x
  2. Step 2: Convert to fraction form
    22,426.68/33,643.62 = 6,843/x
  3. Step 3: Cross multiply
    22,426.68x = 33,643.62 × 6,843
  4. Step 4: Simplify right side
    22,426.68x = 230,223,291.66
  5. Step 5: Solve for x
    x = 230,223,291.66/22,426.68
  6. Step 6: Final answer
    x = 10,265.60

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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.