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Finding the Fourth Proportional to 10,823.40, 16,235.10 and 9,268.20

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Solution

The fourth proportional to 10,823.40, 16,235.10 and 9,268.20 is: 13,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.40 : 16,235.10 = 9,268.20 : x
  2. Step 2: Convert to fraction form
    10,823.40/16,235.10 = 9,268.20/x
  3. Step 3: Cross multiply
    10,823.40x = 16,235.10 × 9,268.20
  4. Step 4: Simplify right side
    10,823.40x = 150,470,153.82
  5. Step 5: Solve for x
    x = 150,470,153.82/10,823.40
  6. Step 6: Final answer
    x = 13,902.30

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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.