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Finding the Fourth Proportional to 19,723.50, 29,599.83 and 9,335.25

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Solution

The fourth proportional to 19,723.50, 29,599.83 and 9,335.25 is: 14,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.50 : 29,599.83 = 9,335.25 : x
  2. Step 2: Convert to fraction form
    19,723.50/29,599.83 = 9,335.25/x
  3. Step 3: Cross multiply
    19,723.50x = 29,599.83 × 9,335.25
  4. Step 4: Simplify right side
    19,723.50x = 276,321,813.01
  5. Step 5: Solve for x
    x = 276,321,813.01/19,723.50
  6. Step 6: Final answer
    x = 14,009.78

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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.