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Finding the Fourth Proportional to 24,561.87, 36,816.57 and 14,009.16

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Solution

The fourth proportional to 24,561.87, 36,816.57 and 14,009.16 is: 20,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.87 : 36,816.57 = 14,009.16 : x
  2. Step 2: Convert to fraction form
    24,561.87/36,816.57 = 14,009.16/x
  3. Step 3: Cross multiply
    24,561.87x = 36,816.57 × 14,009.16
  4. Step 4: Simplify right side
    24,561.87x = 515,769,219.78
  5. Step 5: Solve for x
    x = 515,769,219.78/24,561.87
  6. Step 6: Final answer
    x = 20,998.78

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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.