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Finding the Fourth Proportional to 11,010.70, 16,499.85 and 9,358.30

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Solution

The fourth proportional to 11,010.70, 16,499.85 and 9,358.30 is: 14,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.70 : 16,499.85 = 9,358.30 : x
  2. Step 2: Convert to fraction form
    11,010.70/16,499.85 = 9,358.30/x
  3. Step 3: Cross multiply
    11,010.70x = 16,499.85 × 9,358.30
  4. Step 4: Simplify right side
    11,010.70x = 154,410,546.26
  5. Step 5: Solve for x
    x = 154,410,546.26/11,010.70
  6. Step 6: Final answer
    x = 14,023.68

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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.