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Finding the Fourth Proportional to 12,412.01, 18,624.09 and 5,838.86

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Solution

The fourth proportional to 12,412.01, 18,624.09 and 5,838.86 is: 8,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.01 : 18,624.09 = 5,838.86 : x
  2. Step 2: Convert to fraction form
    12,412.01/18,624.09 = 5,838.86/x
  3. Step 3: Cross multiply
    12,412.01x = 18,624.09 × 5,838.86
  4. Step 4: Simplify right side
    12,412.01x = 108,743,454.14
  5. Step 5: Solve for x
    x = 108,743,454.14/12,412.01
  6. Step 6: Final answer
    x = 8,761.15

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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.