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Finding the Fourth Proportional to 11,550.72, 17,285.76 and 9,446.40

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Solution

The fourth proportional to 11,550.72, 17,285.76 and 9,446.40 is: 14,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.72 : 17,285.76 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    11,550.72/17,285.76 = 9,446.40/x
  3. Step 3: Cross multiply
    11,550.72x = 17,285.76 × 9,446.40
  4. Step 4: Simplify right side
    11,550.72x = 163,288,203.26
  5. Step 5: Solve for x
    x = 163,288,203.26/11,550.72
  6. Step 6: Final answer
    x = 14,136.63

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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.