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Finding the Fourth Proportional to 12,864.15, 19,297.17 and 4,099.95

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Solution

The fourth proportional to 12,864.15, 19,297.17 and 4,099.95 is: 6,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.15 : 19,297.17 = 4,099.95 : x
  2. Step 2: Convert to fraction form
    12,864.15/19,297.17 = 4,099.95/x
  3. Step 3: Cross multiply
    12,864.15x = 19,297.17 × 4,099.95
  4. Step 4: Simplify right side
    12,864.15x = 79,117,432.14
  5. Step 5: Solve for x
    x = 79,117,432.14/12,864.15
  6. Step 6: Final answer
    x = 6,150.23

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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.