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Finding the Fourth Proportional to 13,531.80, 20,297.70 and 9,816.60

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Solution

The fourth proportional to 13,531.80, 20,297.70 and 9,816.60 is: 14,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.80 : 20,297.70 = 9,816.60 : x
  2. Step 2: Convert to fraction form
    13,531.80/20,297.70 = 9,816.60/x
  3. Step 3: Cross multiply
    13,531.80x = 20,297.70 × 9,816.60
  4. Step 4: Simplify right side
    13,531.80x = 199,254,401.82
  5. Step 5: Solve for x
    x = 199,254,401.82/13,531.80
  6. Step 6: Final answer
    x = 14,724.90

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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.