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Finding the Fourth Proportional to 19,836.68, 29,734.02 and 9,297.86

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Solution

The fourth proportional to 19,836.68, 29,734.02 and 9,297.86 is: 13,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.68 : 29,734.02 = 9,297.86 : x
  2. Step 2: Convert to fraction form
    19,836.68/29,734.02 = 9,297.86/x
  3. Step 3: Cross multiply
    19,836.68x = 29,734.02 × 9,297.86
  4. Step 4: Simplify right side
    19,836.68x = 276,462,606.53
  5. Step 5: Solve for x
    x = 276,462,606.53/19,836.68
  6. Step 6: Final answer
    x = 13,936.94

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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.