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Finding the Fourth Proportional to 19,785.94, 29,682.15 and 9,394.18

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Solution

The fourth proportional to 19,785.94, 29,682.15 and 9,394.18 is: 14,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.94 : 29,682.15 = 9,394.18 : x
  2. Step 2: Convert to fraction form
    19,785.94/29,682.15 = 9,394.18/x
  3. Step 3: Cross multiply
    19,785.94x = 29,682.15 × 9,394.18
  4. Step 4: Simplify right side
    19,785.94x = 278,839,459.89
  5. Step 5: Solve for x
    x = 278,839,459.89/19,785.94
  6. Step 6: Final answer
    x = 14,092.81

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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.