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Finding the Fourth Proportional to 13,887.16, 20,830.78 and 3,357.16

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Solution

The fourth proportional to 13,887.16, 20,830.78 and 3,357.16 is: 5,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.16 : 20,830.78 = 3,357.16 : x
  2. Step 2: Convert to fraction form
    13,887.16/20,830.78 = 3,357.16/x
  3. Step 3: Cross multiply
    13,887.16x = 20,830.78 × 3,357.16
  4. Step 4: Simplify right side
    13,887.16x = 69,932,213.50
  5. Step 5: Solve for x
    x = 69,932,213.50/13,887.16
  6. Step 6: Final answer
    x = 5,035.75

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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.