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Finding the Fourth Proportional to 18,099.83, 24,969.32 and 11,389.16

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Solution

The fourth proportional to 18,099.83, 24,969.32 and 11,389.16 is: 15,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099.83 : 24,969.32 = 11,389.16 : x
  2. Step 2: Convert to fraction form
    18,099.83/24,969.32 = 11,389.16/x
  3. Step 3: Cross multiply
    18,099.83x = 24,969.32 × 11,389.16
  4. Step 4: Simplify right side
    18,099.83x = 284,379,580.57
  5. Step 5: Solve for x
    x = 284,379,580.57/18,099.83
  6. Step 6: Final answer
    x = 15,711.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.