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Finding the Fourth Proportional to 13,771.80, 20,657.16 and 9,599.76

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Solution

The fourth proportional to 13,771.80, 20,657.16 and 9,599.76 is: 14,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.80 : 20,657.16 = 9,599.76 : x
  2. Step 2: Convert to fraction form
    13,771.80/20,657.16 = 9,599.76/x
  3. Step 3: Cross multiply
    13,771.80x = 20,657.16 × 9,599.76
  4. Step 4: Simplify right side
    13,771.80x = 198,303,778.28
  5. Step 5: Solve for x
    x = 198,303,778.28/13,771.80
  6. Step 6: Final answer
    x = 14,399.26

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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.