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Finding the Fourth Proportional to 12,666.16, 18,997.62 and 5,269.24

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Solution

The fourth proportional to 12,666.16, 18,997.62 and 5,269.24 is: 7,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.16 : 18,997.62 = 5,269.24 : x
  2. Step 2: Convert to fraction form
    12,666.16/18,997.62 = 5,269.24/x
  3. Step 3: Cross multiply
    12,666.16x = 18,997.62 × 5,269.24
  4. Step 4: Simplify right side
    12,666.16x = 100,103,019.21
  5. Step 5: Solve for x
    x = 100,103,019.21/12,666.16
  6. Step 6: Final answer
    x = 7,903.19

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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.