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Finding the Fourth Proportional to 13,450.86, 20,176.29 and 6,530.22

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Solution

The fourth proportional to 13,450.86, 20,176.29 and 6,530.22 is: 9,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.86 : 20,176.29 = 6,530.22 : x
  2. Step 2: Convert to fraction form
    13,450.86/20,176.29 = 6,530.22/x
  3. Step 3: Cross multiply
    13,450.86x = 20,176.29 × 6,530.22
  4. Step 4: Simplify right side
    13,450.86x = 131,755,612.48
  5. Step 5: Solve for x
    x = 131,755,612.48/13,450.86
  6. Step 6: Final answer
    x = 9,795.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.