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Finding the Fourth Proportional to 22,083.84, 30,481.92 and 12,655.44

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Solution

The fourth proportional to 22,083.84, 30,481.92 and 12,655.44 is: 17,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.84 : 30,481.92 = 12,655.44 : x
  2. Step 2: Convert to fraction form
    22,083.84/30,481.92 = 12,655.44/x
  3. Step 3: Cross multiply
    22,083.84x = 30,481.92 × 12,655.44
  4. Step 4: Simplify right side
    22,083.84x = 385,762,109.64
  5. Step 5: Solve for x
    x = 385,762,109.64/22,083.84
  6. Step 6: Final answer
    x = 17,468.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.