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Finding the Fourth Proportional to 19,678.96, 29,489.82 and 12,166.48

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Solution

The fourth proportional to 19,678.96, 29,489.82 and 12,166.48 is: 18,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.96 : 29,489.82 = 12,166.48 : x
  2. Step 2: Convert to fraction form
    19,678.96/29,489.82 = 12,166.48/x
  3. Step 3: Cross multiply
    19,678.96x = 29,489.82 × 12,166.48
  4. Step 4: Simplify right side
    19,678.96x = 358,787,305.23
  5. Step 5: Solve for x
    x = 358,787,305.23/19,678.96
  6. Step 6: Final answer
    x = 18,232.03

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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.