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Finding the Fourth Proportional to 17,565.13, 24,240.77 and 10,399.16

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Solution

The fourth proportional to 17,565.13, 24,240.77 and 10,399.16 is: 14,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.13 : 24,240.77 = 10,399.16 : x
  2. Step 2: Convert to fraction form
    17,565.13/24,240.77 = 10,399.16/x
  3. Step 3: Cross multiply
    17,565.13x = 24,240.77 × 10,399.16
  4. Step 4: Simplify right side
    17,565.13x = 252,083,625.18
  5. Step 5: Solve for x
    x = 252,083,625.18/17,565.13
  6. Step 6: Final answer
    x = 14,351.37

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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.