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Finding the Fourth Proportional to 24,209.10, 33,406.83 and 13,454.22

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Solution

The fourth proportional to 24,209.10, 33,406.83 and 13,454.22 is: 18,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.10 : 33,406.83 = 13,454.22 : x
  2. Step 2: Convert to fraction form
    24,209.10/33,406.83 = 13,454.22/x
  3. Step 3: Cross multiply
    24,209.10x = 33,406.83 × 13,454.22
  4. Step 4: Simplify right side
    24,209.10x = 449,462,840.32
  5. Step 5: Solve for x
    x = 449,462,840.32/24,209.10
  6. Step 6: Final answer
    x = 18,565.86

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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.