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Finding the Fourth Proportional to 23,121.92, 31,904.64 and 13,184

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Solution

The fourth proportional to 23,121.92, 31,904.64 and 13,184 is: 18,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121.92 : 31,904.64 = 13,184 : x
  2. Step 2: Convert to fraction form
    23,121.92/31,904.64 = 13,184/x
  3. Step 3: Cross multiply
    23,121.92x = 31,904.64 × 13,184
  4. Step 4: Simplify right side
    23,121.92x = 420,630,773.76
  5. Step 5: Solve for x
    x = 420,630,773.76/23,121.92
  6. Step 6: Final answer
    x = 18,191.86

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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.