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Finding the Fourth Proportional to 12,865.57, 19,305.72 and 6,942.44

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Solution

The fourth proportional to 12,865.57, 19,305.72 and 6,942.44 is: 10,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.57 : 19,305.72 = 6,942.44 : x
  2. Step 2: Convert to fraction form
    12,865.57/19,305.72 = 6,942.44/x
  3. Step 3: Cross multiply
    12,865.57x = 19,305.72 × 6,942.44
  4. Step 4: Simplify right side
    12,865.57x = 134,028,851.02
  5. Step 5: Solve for x
    x = 134,028,851.02/12,865.57
  6. Step 6: Final answer
    x = 10,417.64

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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.