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Finding the Fourth Proportional to 17,832.19, 24,614.90 and 10,380.19

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Solution

The fourth proportional to 17,832.19, 24,614.90 and 10,380.19 is: 14,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.19 : 24,614.90 = 10,380.19 : x
  2. Step 2: Convert to fraction form
    17,832.19/24,614.90 = 10,380.19/x
  3. Step 3: Cross multiply
    17,832.19x = 24,614.90 × 10,380.19
  4. Step 4: Simplify right side
    17,832.19x = 255,507,338.83
  5. Step 5: Solve for x
    x = 255,507,338.83/17,832.19
  6. Step 6: Final answer
    x = 14,328.43

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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.