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Finding the Fourth Proportional to 19,682.96, 29,532.12 and 11,358.58

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Solution

The fourth proportional to 19,682.96, 29,532.12 and 11,358.58 is: 17,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.96 : 29,532.12 = 11,358.58 : x
  2. Step 2: Convert to fraction form
    19,682.96/29,532.12 = 11,358.58/x
  3. Step 3: Cross multiply
    19,682.96x = 29,532.12 × 11,358.58
  4. Step 4: Simplify right side
    19,682.96x = 335,442,947.59
  5. Step 5: Solve for x
    x = 335,442,947.59/19,682.96
  6. Step 6: Final answer
    x = 17,042.30

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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.