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Finding the Fourth Proportional to 16,081.84, 22,192.68 and 9,008.24

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Solution

The fourth proportional to 16,081.84, 22,192.68 and 9,008.24 is: 12,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.84 : 22,192.68 = 9,008.24 : x
  2. Step 2: Convert to fraction form
    16,081.84/22,192.68 = 9,008.24/x
  3. Step 3: Cross multiply
    16,081.84x = 22,192.68 × 9,008.24
  4. Step 4: Simplify right side
    16,081.84x = 199,916,987.68
  5. Step 5: Solve for x
    x = 199,916,987.68/16,081.84
  6. Step 6: Final answer
    x = 12,431.23

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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.