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Finding the Fourth Proportional to 12,800.38, 17,664.33 and 7,135.36

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Solution

The fourth proportional to 12,800.38, 17,664.33 and 7,135.36 is: 9,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.38 : 17,664.33 = 7,135.36 : x
  2. Step 2: Convert to fraction form
    12,800.38/17,664.33 = 7,135.36/x
  3. Step 3: Cross multiply
    12,800.38x = 17,664.33 × 7,135.36
  4. Step 4: Simplify right side
    12,800.38x = 126,041,353.71
  5. Step 5: Solve for x
    x = 126,041,353.71/12,800.38
  6. Step 6: Final answer
    x = 9,846.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.