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Finding the Fourth Proportional to 12,883.46, 19,324.95 and 4,118.38

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Solution

The fourth proportional to 12,883.46, 19,324.95 and 4,118.38 is: 6,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.46 : 19,324.95 = 4,118.38 : x
  2. Step 2: Convert to fraction form
    12,883.46/19,324.95 = 4,118.38/x
  3. Step 3: Cross multiply
    12,883.46x = 19,324.95 × 4,118.38
  4. Step 4: Simplify right side
    12,883.46x = 79,587,439.27
  5. Step 5: Solve for x
    x = 79,587,439.27/12,883.46
  6. Step 6: Final answer
    x = 6,177.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.