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Finding the Fourth Proportional to 14,601.96, 20,150.69 and 8,314.34

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Solution

The fourth proportional to 14,601.96, 20,150.69 and 8,314.34 is: 11,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.96 : 20,150.69 = 8,314.34 : x
  2. Step 2: Convert to fraction form
    14,601.96/20,150.69 = 8,314.34/x
  3. Step 3: Cross multiply
    14,601.96x = 20,150.69 × 8,314.34
  4. Step 4: Simplify right side
    14,601.96x = 167,539,545.57
  5. Step 5: Solve for x
    x = 167,539,545.57/14,601.96
  6. Step 6: Final answer
    x = 11,473.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.