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Finding the Fourth Proportional to 24,857.50, 34,304.84 and 14,247.82

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Solution

The fourth proportional to 24,857.50, 34,304.84 and 14,247.82 is: 19,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.50 : 34,304.84 = 14,247.82 : x
  2. Step 2: Convert to fraction form
    24,857.50/34,304.84 = 14,247.82/x
  3. Step 3: Cross multiply
    24,857.50x = 34,304.84 × 14,247.82
  4. Step 4: Simplify right side
    24,857.50x = 488,769,185.45
  5. Step 5: Solve for x
    x = 488,769,185.45/24,857.50
  6. Step 6: Final answer
    x = 19,662.85

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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.