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Finding the Fourth Proportional to 13,867.75, 20,797.52 and 4,007.12

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Solution

The fourth proportional to 13,867.75, 20,797.52 and 4,007.12 is: 6,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.75 : 20,797.52 = 4,007.12 : x
  2. Step 2: Convert to fraction form
    13,867.75/20,797.52 = 4,007.12/x
  3. Step 3: Cross multiply
    13,867.75x = 20,797.52 × 4,007.12
  4. Step 4: Simplify right side
    13,867.75x = 83,338,158.34
  5. Step 5: Solve for x
    x = 83,338,158.34/13,867.75
  6. Step 6: Final answer
    x = 6,009.49

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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.