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Finding the Fourth Proportional to 11,028.24, 16,524.68 and 9,909.20

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Solution

The fourth proportional to 11,028.24, 16,524.68 and 9,909.20 is: 14,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.24 : 16,524.68 = 9,909.20 : x
  2. Step 2: Convert to fraction form
    11,028.24/16,524.68 = 9,909.20/x
  3. Step 3: Cross multiply
    11,028.24x = 16,524.68 × 9,909.20
  4. Step 4: Simplify right side
    11,028.24x = 163,746,359.06
  5. Step 5: Solve for x
    x = 163,746,359.06/11,028.24
  6. Step 6: Final answer
    x = 14,847.91

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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.