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Finding the Fourth Proportional to 20,815.64, 31,222.49 and 7,667.12

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Solution

The fourth proportional to 20,815.64, 31,222.49 and 7,667.12 is: 11,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.64 : 31,222.49 = 7,667.12 : x
  2. Step 2: Convert to fraction form
    20,815.64/31,222.49 = 7,667.12/x
  3. Step 3: Cross multiply
    20,815.64x = 31,222.49 × 7,667.12
  4. Step 4: Simplify right side
    20,815.64x = 239,386,440.58
  5. Step 5: Solve for x
    x = 239,386,440.58/20,815.64
  6. Step 6: Final answer
    x = 11,500.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.