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Finding the Fourth Proportional to 22,424.68, 33,637.60 and 6,842.26

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Solution

The fourth proportional to 22,424.68, 33,637.60 and 6,842.26 is: 10,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.68 : 33,637.60 = 6,842.26 : x
  2. Step 2: Convert to fraction form
    22,424.68/33,637.60 = 6,842.26/x
  3. Step 3: Cross multiply
    22,424.68x = 33,637.60 × 6,842.26
  4. Step 4: Simplify right side
    22,424.68x = 230,157,204.98
  5. Step 5: Solve for x
    x = 230,157,204.98/22,424.68
  6. Step 6: Final answer
    x = 10,263.57

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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.