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Finding the Fourth Proportional to 16,193.64, 22,346.46 and 9,023.94

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Solution

The fourth proportional to 16,193.64, 22,346.46 and 9,023.94 is: 12,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.64 : 22,346.46 = 9,023.94 : x
  2. Step 2: Convert to fraction form
    16,193.64/22,346.46 = 9,023.94/x
  3. Step 3: Cross multiply
    16,193.64x = 22,346.46 × 9,023.94
  4. Step 4: Simplify right side
    16,193.64x = 201,653,114.25
  5. Step 5: Solve for x
    x = 201,653,114.25/16,193.64
  6. Step 6: Final answer
    x = 12,452.61

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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.