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Finding the Fourth Proportional to 16,205.44, 22,363.50 and 9,132.11

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Solution

The fourth proportional to 16,205.44, 22,363.50 and 9,132.11 is: 12,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.44 : 22,363.50 = 9,132.11 : x
  2. Step 2: Convert to fraction form
    16,205.44/22,363.50 = 9,132.11/x
  3. Step 3: Cross multiply
    16,205.44x = 22,363.50 × 9,132.11
  4. Step 4: Simplify right side
    16,205.44x = 204,226,032.14
  5. Step 5: Solve for x
    x = 204,226,032.14/16,205.44
  6. Step 6: Final answer
    x = 12,602.32

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Why These Related Problems?

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