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Finding the Fourth Proportional to 12,412.22, 18,626.53 and 5,838.92

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Solution

The fourth proportional to 12,412.22, 18,626.53 and 5,838.92 is: 8,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.22 : 18,626.53 = 5,838.92 : x
  2. Step 2: Convert to fraction form
    12,412.22/18,626.53 = 5,838.92/x
  3. Step 3: Cross multiply
    12,412.22x = 18,626.53 × 5,838.92
  4. Step 4: Simplify right side
    12,412.22x = 108,758,836.92
  5. Step 5: Solve for x
    x = 108,758,836.92/12,412.22
  6. Step 6: Final answer
    x = 8,762.24

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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.