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Finding the Fourth Proportional to 16,097.63, 22,214.70 and 9,024.05

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Solution

The fourth proportional to 16,097.63, 22,214.70 and 9,024.05 is: 12,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.63 : 22,214.70 = 9,024.05 : x
  2. Step 2: Convert to fraction form
    16,097.63/22,214.70 = 9,024.05/x
  3. Step 3: Cross multiply
    16,097.63x = 22,214.70 × 9,024.05
  4. Step 4: Simplify right side
    16,097.63x = 200,466,563.54
  5. Step 5: Solve for x
    x = 200,466,563.54/16,097.63
  6. Step 6: Final answer
    x = 12,453.17

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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.