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Finding the Fourth Proportional to 19,489.62, 29,234.70 and 5,638.62

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Solution

The fourth proportional to 19,489.62, 29,234.70 and 5,638.62 is: 8,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.62 : 29,234.70 = 5,638.62 : x
  2. Step 2: Convert to fraction form
    19,489.62/29,234.70 = 5,638.62/x
  3. Step 3: Cross multiply
    19,489.62x = 29,234.70 × 5,638.62
  4. Step 4: Simplify right side
    19,489.62x = 164,843,364.11
  5. Step 5: Solve for x
    x = 164,843,364.11/19,489.62
  6. Step 6: Final answer
    x = 8,458.01

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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.