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Finding the Fourth Proportional to 12,815.01, 19,200.65 and 6,961.14

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Solution

The fourth proportional to 12,815.01, 19,200.65 and 6,961.14 is: 10,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.01 : 19,200.65 = 6,961.14 : x
  2. Step 2: Convert to fraction form
    12,815.01/19,200.65 = 6,961.14/x
  3. Step 3: Cross multiply
    12,815.01x = 19,200.65 × 6,961.14
  4. Step 4: Simplify right side
    12,815.01x = 133,658,377.94
  5. Step 5: Solve for x
    x = 133,658,377.94/12,815.01
  6. Step 6: Final answer
    x = 10,429.83

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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.