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Finding the Fourth Proportional to 22,035.96, 33,024.78 and 16,165.08

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Solution

The fourth proportional to 22,035.96, 33,024.78 and 16,165.08 is: 24,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.96 : 33,024.78 = 16,165.08 : x
  2. Step 2: Convert to fraction form
    22,035.96/33,024.78 = 16,165.08/x
  3. Step 3: Cross multiply
    22,035.96x = 33,024.78 × 16,165.08
  4. Step 4: Simplify right side
    22,035.96x = 533,848,210.68
  5. Step 5: Solve for x
    x = 533,848,210.68/22,035.96
  6. Step 6: Final answer
    x = 24,226.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.