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Finding the Fourth Proportional to 13,624.56, 20,446.56 and 5,838.96

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Solution

The fourth proportional to 13,624.56, 20,446.56 and 5,838.96 is: 8,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.56 : 20,446.56 = 5,838.96 : x
  2. Step 2: Convert to fraction form
    13,624.56/20,446.56 = 5,838.96/x
  3. Step 3: Cross multiply
    13,624.56x = 20,446.56 × 5,838.96
  4. Step 4: Simplify right side
    13,624.56x = 119,386,645.98
  5. Step 5: Solve for x
    x = 119,386,645.98/13,624.56
  6. Step 6: Final answer
    x = 8,762.61

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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.