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Finding the Fourth Proportional to 17,837.12, 24,614.90 and 9,879.16

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Solution

The fourth proportional to 17,837.12, 24,614.90 and 9,879.16 is: 13,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.12 : 24,614.90 = 9,879.16 : x
  2. Step 2: Convert to fraction form
    17,837.12/24,614.90 = 9,879.16/x
  3. Step 3: Cross multiply
    17,837.12x = 24,614.90 × 9,879.16
  4. Step 4: Simplify right side
    17,837.12x = 243,174,535.48
  5. Step 5: Solve for x
    x = 243,174,535.48/17,837.12
  6. Step 6: Final answer
    x = 13,633.06

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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.