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Finding the Fourth Proportional to 16,224.10, 22,390.83 and 9,849.22

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Solution

The fourth proportional to 16,224.10, 22,390.83 and 9,849.22 is: 13,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.10 : 22,390.83 = 9,849.22 : x
  2. Step 2: Convert to fraction form
    16,224.10/22,390.83 = 9,849.22/x
  3. Step 3: Cross multiply
    16,224.10x = 22,390.83 × 9,849.22
  4. Step 4: Simplify right side
    16,224.10x = 220,532,154.68
  5. Step 5: Solve for x
    x = 220,532,154.68/16,224.10
  6. Step 6: Final answer
    x = 13,592.88

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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.