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Finding the Fourth Proportional to 22,424.84, 33,642.30 and 6,841.28

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Solution

The fourth proportional to 22,424.84, 33,642.30 and 6,841.28 is: 10,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.84 : 33,642.30 = 6,841.28 : x
  2. Step 2: Convert to fraction form
    22,424.84/33,642.30 = 6,841.28/x
  3. Step 3: Cross multiply
    22,424.84x = 33,642.30 × 6,841.28
  4. Step 4: Simplify right side
    22,424.84x = 230,156,394.14
  5. Step 5: Solve for x
    x = 230,156,394.14/22,424.84
  6. Step 6: Final answer
    x = 10,263.46

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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.