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Finding the Fourth Proportional to 16,204.68, 22,363.56 and 9,132.84

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Solution

The fourth proportional to 16,204.68, 22,363.56 and 9,132.84 is: 12,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.68 : 22,363.56 = 9,132.84 : x
  2. Step 2: Convert to fraction form
    16,204.68/22,363.56 = 9,132.84/x
  3. Step 3: Cross multiply
    16,204.68x = 22,363.56 × 9,132.84
  4. Step 4: Simplify right side
    16,204.68x = 204,242,815.31
  5. Step 5: Solve for x
    x = 204,242,815.31/16,204.68
  6. Step 6: Final answer
    x = 12,603.94

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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.