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Finding the Fourth Proportional to 22,614.10, 33,924.22 and 9,463.40

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Solution

The fourth proportional to 22,614.10, 33,924.22 and 9,463.40 is: 14,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.10 : 33,924.22 = 9,463.40 : x
  2. Step 2: Convert to fraction form
    22,614.10/33,924.22 = 9,463.40/x
  3. Step 3: Cross multiply
    22,614.10x = 33,924.22 × 9,463.40
  4. Step 4: Simplify right side
    22,614.10x = 321,038,463.55
  5. Step 5: Solve for x
    x = 321,038,463.55/22,614.10
  6. Step 6: Final answer
    x = 14,196.38

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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.