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Finding the Fourth Proportional to 19,674.13, 29,511.05 and 5,634.51

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Solution

The fourth proportional to 19,674.13, 29,511.05 and 5,634.51 is: 8,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.13 : 29,511.05 = 5,634.51 : x
  2. Step 2: Convert to fraction form
    19,674.13/29,511.05 = 5,634.51/x
  3. Step 3: Cross multiply
    19,674.13x = 29,511.05 × 5,634.51
  4. Step 4: Simplify right side
    19,674.13x = 166,280,306.34
  5. Step 5: Solve for x
    x = 166,280,306.34/19,674.13
  6. Step 6: Final answer
    x = 8,451.72

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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.