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Finding the Fourth Proportional to 13,867.33, 20,800.94 and 6,467.68

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Solution

The fourth proportional to 13,867.33, 20,800.94 and 6,467.68 is: 9,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.33 : 20,800.94 = 6,467.68 : x
  2. Step 2: Convert to fraction form
    13,867.33/20,800.94 = 6,467.68/x
  3. Step 3: Cross multiply
    13,867.33x = 20,800.94 × 6,467.68
  4. Step 4: Simplify right side
    13,867.33x = 134,533,719.61
  5. Step 5: Solve for x
    x = 134,533,719.61/13,867.33
  6. Step 6: Final answer
    x = 9,701.49

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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.