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Finding the Fourth Proportional to 19,824.77, 29,728.50 and 7,504.13

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Solution

The fourth proportional to 19,824.77, 29,728.50 and 7,504.13 is: 11,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.77 : 29,728.50 = 7,504.13 : x
  2. Step 2: Convert to fraction form
    19,824.77/29,728.50 = 7,504.13/x
  3. Step 3: Cross multiply
    19,824.77x = 29,728.50 × 7,504.13
  4. Step 4: Simplify right side
    19,824.77x = 223,086,380.06
  5. Step 5: Solve for x
    x = 223,086,380.06/19,824.77
  6. Step 6: Final answer
    x = 11,252.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.