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Finding the Fourth Proportional to 11,626.53, 17,439.80 and 9,566.21

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Solution

The fourth proportional to 11,626.53, 17,439.80 and 9,566.21 is: 14,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.53 : 17,439.80 = 9,566.21 : x
  2. Step 2: Convert to fraction form
    11,626.53/17,439.80 = 9,566.21/x
  3. Step 3: Cross multiply
    11,626.53x = 17,439.80 × 9,566.21
  4. Step 4: Simplify right side
    11,626.53x = 166,832,654.13
  5. Step 5: Solve for x
    x = 166,832,654.13/11,626.53
  6. Step 6: Final answer
    x = 14,349.31

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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.