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Finding the Fourth Proportional to 29,813.88, 41,134.16 and 17,872.86

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Solution

The fourth proportional to 29,813.88, 41,134.16 and 17,872.86 is: 24,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.88 : 41,134.16 = 17,872.86 : x
  2. Step 2: Convert to fraction form
    29,813.88/41,134.16 = 17,872.86/x
  3. Step 3: Cross multiply
    29,813.88x = 41,134.16 × 17,872.86
  4. Step 4: Simplify right side
    29,813.88x = 735,184,993.53
  5. Step 5: Solve for x
    x = 735,184,993.53/29,813.88
  6. Step 6: Final answer
    x = 24,659.15

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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.