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Finding the Fourth Proportional to 16,715.60, 23,067.76 and 9,162.64

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Solution

The fourth proportional to 16,715.60, 23,067.76 and 9,162.64 is: 12,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715.60 : 23,067.76 = 9,162.64 : x
  2. Step 2: Convert to fraction form
    16,715.60/23,067.76 = 9,162.64/x
  3. Step 3: Cross multiply
    16,715.60x = 23,067.76 × 9,162.64
  4. Step 4: Simplify right side
    16,715.60x = 211,361,580.49
  5. Step 5: Solve for x
    x = 211,361,580.49/16,715.60
  6. Step 6: Final answer
    x = 12,644.57

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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.