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Finding the Fourth Proportional to 16,138.80, 22,272.84 and 9,066.96

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Solution

The fourth proportional to 16,138.80, 22,272.84 and 9,066.96 is: 12,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.80 : 22,272.84 = 9,066.96 : x
  2. Step 2: Convert to fraction form
    16,138.80/22,272.84 = 9,066.96/x
  3. Step 3: Cross multiply
    16,138.80x = 22,272.84 × 9,066.96
  4. Step 4: Simplify right side
    16,138.80x = 201,946,949.37
  5. Step 5: Solve for x
    x = 201,946,949.37/16,138.80
  6. Step 6: Final answer
    x = 12,513.13

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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.