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Finding the Fourth Proportional to 21,626.40, 32,439.68 and 7,772.16

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Solution

The fourth proportional to 21,626.40, 32,439.68 and 7,772.16 is: 11,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,626.40 : 32,439.68 = 7,772.16 : x
  2. Step 2: Convert to fraction form
    21,626.40/32,439.68 = 7,772.16/x
  3. Step 3: Cross multiply
    21,626.40x = 32,439.68 × 7,772.16
  4. Step 4: Simplify right side
    21,626.40x = 252,126,383.31
  5. Step 5: Solve for x
    x = 252,126,383.31/21,626.40
  6. Step 6: Final answer
    x = 11,658.27

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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.