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Finding the Fourth Proportional to 19,697.76, 29,545.92 and 5,846.40

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Solution

The fourth proportional to 19,697.76, 29,545.92 and 5,846.40 is: 8,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.76 : 29,545.92 = 5,846.40 : x
  2. Step 2: Convert to fraction form
    19,697.76/29,545.92 = 5,846.40/x
  3. Step 3: Cross multiply
    19,697.76x = 29,545.92 × 5,846.40
  4. Step 4: Simplify right side
    19,697.76x = 172,737,266.69
  5. Step 5: Solve for x
    x = 172,737,266.69/19,697.76
  6. Step 6: Final answer
    x = 8,769.39

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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.