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Finding the Fourth Proportional to 16,097.82, 22,216.35 and 9,024.90

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Solution

The fourth proportional to 16,097.82, 22,216.35 and 9,024.90 is: 12,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.82 : 22,216.35 = 9,024.90 : x
  2. Step 2: Convert to fraction form
    16,097.82/22,216.35 = 9,024.90/x
  3. Step 3: Cross multiply
    16,097.82x = 22,216.35 × 9,024.90
  4. Step 4: Simplify right side
    16,097.82x = 200,500,337.12
  5. Step 5: Solve for x
    x = 200,500,337.12/16,097.82
  6. Step 6: Final answer
    x = 12,455.12

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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.