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Finding the Fourth Proportional to 16,205.72, 22,362.18 and 9,132.08

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Solution

The fourth proportional to 16,205.72, 22,362.18 and 9,132.08 is: 12,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.72 : 22,362.18 = 9,132.08 : x
  2. Step 2: Convert to fraction form
    16,205.72/22,362.18 = 9,132.08/x
  3. Step 3: Cross multiply
    16,205.72x = 22,362.18 × 9,132.08
  4. Step 4: Simplify right side
    16,205.72x = 204,213,216.73
  5. Step 5: Solve for x
    x = 204,213,216.73/16,205.72
  6. Step 6: Final answer
    x = 12,601.30

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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.