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Finding the Fourth Proportional to 11,202.30, 16,803.45 and 9,452.70

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Solution

The fourth proportional to 11,202.30, 16,803.45 and 9,452.70 is: 14,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.30 : 16,803.45 = 9,452.70 : x
  2. Step 2: Convert to fraction form
    11,202.30/16,803.45 = 9,452.70/x
  3. Step 3: Cross multiply
    11,202.30x = 16,803.45 × 9,452.70
  4. Step 4: Simplify right side
    11,202.30x = 158,837,971.82
  5. Step 5: Solve for x
    x = 158,837,971.82/11,202.30
  6. Step 6: Final answer
    x = 14,179.05

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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.