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Finding the Fourth Proportional to 16,172.86, 24,242.84 and 12,269.08

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Solution

The fourth proportional to 16,172.86, 24,242.84 and 12,269.08 is: 18,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.86 : 24,242.84 = 12,269.08 : x
  2. Step 2: Convert to fraction form
    16,172.86/24,242.84 = 12,269.08/x
  3. Step 3: Cross multiply
    16,172.86x = 24,242.84 × 12,269.08
  4. Step 4: Simplify right side
    16,172.86x = 297,437,343.39
  5. Step 5: Solve for x
    x = 297,437,343.39/16,172.86
  6. Step 6: Final answer
    x = 18,391.14

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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.