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Finding the Fourth Proportional to 21,468.90, 32,202 and 6,676.68

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Solution

The fourth proportional to 21,468.90, 32,202 and 6,676.68 is: 10,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468.90 : 32,202 = 6,676.68 : x
  2. Step 2: Convert to fraction form
    21,468.90/32,202 = 6,676.68/x
  3. Step 3: Cross multiply
    21,468.90x = 32,202 × 6,676.68
  4. Step 4: Simplify right side
    21,468.90x = 215,002,449.36
  5. Step 5: Solve for x
    x = 215,002,449.36/21,468.90
  6. Step 6: Final answer
    x = 10,014.60

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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.