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Finding the Fourth Proportional to 16,202.50, 22,369.17 and 10,623.22

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Solution

The fourth proportional to 16,202.50, 22,369.17 and 10,623.22 is: 14,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.50 : 22,369.17 = 10,623.22 : x
  2. Step 2: Convert to fraction form
    16,202.50/22,369.17 = 10,623.22/x
  3. Step 3: Cross multiply
    16,202.50x = 22,369.17 × 10,623.22
  4. Step 4: Simplify right side
    16,202.50x = 237,632,614.13
  5. Step 5: Solve for x
    x = 237,632,614.13/16,202.50
  6. Step 6: Final answer
    x = 14,666.42

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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.