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Finding the Fourth Proportional to 13,545.92, 20,313.83 and 4,658.73

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Solution

The fourth proportional to 13,545.92, 20,313.83 and 4,658.73 is: 6,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.92 : 20,313.83 = 4,658.73 : x
  2. Step 2: Convert to fraction form
    13,545.92/20,313.83 = 4,658.73/x
  3. Step 3: Cross multiply
    13,545.92x = 20,313.83 × 4,658.73
  4. Step 4: Simplify right side
    13,545.92x = 94,636,625.94
  5. Step 5: Solve for x
    x = 94,636,625.94/13,545.92
  6. Step 6: Final answer
    x = 6,986.36

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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.