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Finding the Fourth Proportional to 12,951.36, 19,433.52 and 5,165.64

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Solution

The fourth proportional to 12,951.36, 19,433.52 and 5,165.64 is: 7,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.36 : 19,433.52 = 5,165.64 : x
  2. Step 2: Convert to fraction form
    12,951.36/19,433.52 = 5,165.64/x
  3. Step 3: Cross multiply
    12,951.36x = 19,433.52 × 5,165.64
  4. Step 4: Simplify right side
    12,951.36x = 100,386,568.25
  5. Step 5: Solve for x
    x = 100,386,568.25/12,951.36
  6. Step 6: Final answer
    x = 7,751.04

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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.