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Finding the Fourth Proportional to 16,097.96, 22,216.57 and 9,025.74

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Solution

The fourth proportional to 16,097.96, 22,216.57 and 9,025.74 is: 12,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.96 : 22,216.57 = 9,025.74 : x
  2. Step 2: Convert to fraction form
    16,097.96/22,216.57 = 9,025.74/x
  3. Step 3: Cross multiply
    16,097.96x = 22,216.57 × 9,025.74
  4. Step 4: Simplify right side
    16,097.96x = 200,520,984.51
  5. Step 5: Solve for x
    x = 200,520,984.51/16,097.96
  6. Step 6: Final answer
    x = 12,456.30

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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.