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Finding the Fourth Proportional to 12,866.18, 19,296.34 and 6,199.28

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Solution

The fourth proportional to 12,866.18, 19,296.34 and 6,199.28 is: 9,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.18 : 19,296.34 = 6,199.28 : x
  2. Step 2: Convert to fraction form
    12,866.18/19,296.34 = 6,199.28/x
  3. Step 3: Cross multiply
    12,866.18x = 19,296.34 × 6,199.28
  4. Step 4: Simplify right side
    12,866.18x = 119,623,414.64
  5. Step 5: Solve for x
    x = 119,623,414.64/12,866.18
  6. Step 6: Final answer
    x = 9,297.51

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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.