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Finding the Fourth Proportional to 13,499.22, 20,254.98 and 6,930.02

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Solution

The fourth proportional to 13,499.22, 20,254.98 and 6,930.02 is: 10,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.22 : 20,254.98 = 6,930.02 : x
  2. Step 2: Convert to fraction form
    13,499.22/20,254.98 = 6,930.02/x
  3. Step 3: Cross multiply
    13,499.22x = 20,254.98 × 6,930.02
  4. Step 4: Simplify right side
    13,499.22x = 140,367,416.50
  5. Step 5: Solve for x
    x = 140,367,416.50/13,499.22
  6. Step 6: Final answer
    x = 10,398.19

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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.