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Finding the Fourth Proportional to 13,570.86, 20,348.49 and 4,208.46

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Solution

The fourth proportional to 13,570.86, 20,348.49 and 4,208.46 is: 6,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.86 : 20,348.49 = 4,208.46 : x
  2. Step 2: Convert to fraction form
    13,570.86/20,348.49 = 4,208.46/x
  3. Step 3: Cross multiply
    13,570.86x = 20,348.49 × 4,208.46
  4. Step 4: Simplify right side
    13,570.86x = 85,635,806.23
  5. Step 5: Solve for x
    x = 85,635,806.23/13,570.86
  6. Step 6: Final answer
    x = 6,310.27

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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.