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Finding the Fourth Proportional to 20,664, 28,516.32 and 12,278.88

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Solution

The fourth proportional to 20,664, 28,516.32 and 12,278.88 is: 16,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664 : 28,516.32 = 12,278.88 : x
  2. Step 2: Convert to fraction form
    20,664/28,516.32 = 12,278.88/x
  3. Step 3: Cross multiply
    20,664x = 28,516.32 × 12,278.88
  4. Step 4: Simplify right side
    20,664x = 350,148,471.32
  5. Step 5: Solve for x
    x = 350,148,471.32/20,664
  6. Step 6: Final answer
    x = 16,944.85

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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.