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Finding the Fourth Proportional to 16,119.68, 22,245.36 and 9,832.64

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Solution

The fourth proportional to 16,119.68, 22,245.36 and 9,832.64 is: 13,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.68 : 22,245.36 = 9,832.64 : x
  2. Step 2: Convert to fraction form
    16,119.68/22,245.36 = 9,832.64/x
  3. Step 3: Cross multiply
    16,119.68x = 22,245.36 × 9,832.64
  4. Step 4: Simplify right side
    16,119.68x = 218,730,616.55
  5. Step 5: Solve for x
    x = 218,730,616.55/16,119.68
  6. Step 6: Final answer
    x = 13,569.17

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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.