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Finding the Fourth Proportional to 22,226.26, 30,623.01 and 14,659.24

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Solution

The fourth proportional to 22,226.26, 30,623.01 and 14,659.24 is: 20,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,226.26 : 30,623.01 = 14,659.24 : x
  2. Step 2: Convert to fraction form
    22,226.26/30,623.01 = 14,659.24/x
  3. Step 3: Cross multiply
    22,226.26x = 30,623.01 × 14,659.24
  4. Step 4: Simplify right side
    22,226.26x = 448,910,053.11
  5. Step 5: Solve for x
    x = 448,910,053.11/22,226.26
  6. Step 6: Final answer
    x = 20,197.28

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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.