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Finding the Fourth Proportional to 19,729.71, 29,596.50 and 9,728.46

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Solution

The fourth proportional to 19,729.71, 29,596.50 and 9,728.46 is: 14,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.71 : 29,596.50 = 9,728.46 : x
  2. Step 2: Convert to fraction form
    19,729.71/29,596.50 = 9,728.46/x
  3. Step 3: Cross multiply
    19,729.71x = 29,596.50 × 9,728.46
  4. Step 4: Simplify right side
    19,729.71x = 287,928,366.39
  5. Step 5: Solve for x
    x = 287,928,366.39/19,729.71
  6. Step 6: Final answer
    x = 14,593.64

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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.