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Finding the Fourth Proportional to 13,377.12, 20,078 and 6,808

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Solution

The fourth proportional to 13,377.12, 20,078 and 6,808 is: 10,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.12 : 20,078 = 6,808 : x
  2. Step 2: Convert to fraction form
    13,377.12/20,078 = 6,808/x
  3. Step 3: Cross multiply
    13,377.12x = 20,078 × 6,808
  4. Step 4: Simplify right side
    13,377.12x = 136,691,024
  5. Step 5: Solve for x
    x = 136,691,024/13,377.12
  6. Step 6: Final answer
    x = 10,218.27

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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.