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Finding the Fourth Proportional to 11,009.95, 16,505.20 and 8,424.43

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Solution

The fourth proportional to 11,009.95, 16,505.20 and 8,424.43 is: 12,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.95 : 16,505.20 = 8,424.43 : x
  2. Step 2: Convert to fraction form
    11,009.95/16,505.20 = 8,424.43/x
  3. Step 3: Cross multiply
    11,009.95x = 16,505.20 × 8,424.43
  4. Step 4: Simplify right side
    11,009.95x = 139,046,902.04
  5. Step 5: Solve for x
    x = 139,046,902.04/11,009.95
  6. Step 6: Final answer
    x = 12,629.20

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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.