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Finding the Fourth Proportional to 16,097.92, 22,215.05 and 9,024.34

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Solution

The fourth proportional to 16,097.92, 22,215.05 and 9,024.34 is: 12,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.92 : 22,215.05 = 9,024.34 : x
  2. Step 2: Convert to fraction form
    16,097.92/22,215.05 = 9,024.34/x
  3. Step 3: Cross multiply
    16,097.92x = 22,215.05 × 9,024.34
  4. Step 4: Simplify right side
    16,097.92x = 200,476,164.32
  5. Step 5: Solve for x
    x = 200,476,164.32/16,097.92
  6. Step 6: Final answer
    x = 12,453.54

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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.