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Finding the Fourth Proportional to 10,233.60, 15,321.60 and 9,196.80

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Solution

The fourth proportional to 10,233.60, 15,321.60 and 9,196.80 is: 13,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.60 : 15,321.60 = 9,196.80 : x
  2. Step 2: Convert to fraction form
    10,233.60/15,321.60 = 9,196.80/x
  3. Step 3: Cross multiply
    10,233.60x = 15,321.60 × 9,196.80
  4. Step 4: Simplify right side
    10,233.60x = 140,909,690.88
  5. Step 5: Solve for x
    x = 140,909,690.88/10,233.60
  6. Step 6: Final answer
    x = 13,769.32

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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.