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Finding the Fourth Proportional to 16,194.29, 22,348.01 and 9,024.23

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Solution

The fourth proportional to 16,194.29, 22,348.01 and 9,024.23 is: 12,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.29 : 22,348.01 = 9,024.23 : x
  2. Step 2: Convert to fraction form
    16,194.29/22,348.01 = 9,024.23/x
  3. Step 3: Cross multiply
    16,194.29x = 22,348.01 × 9,024.23
  4. Step 4: Simplify right side
    16,194.29x = 201,673,425.42
  5. Step 5: Solve for x
    x = 201,673,425.42/16,194.29
  6. Step 6: Final answer
    x = 12,453.37

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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.