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Finding the Fourth Proportional to 11,662.23, 17,466.03 and 8,155.74

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Solution

The fourth proportional to 11,662.23, 17,466.03 and 8,155.74 is: 12,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.23 : 17,466.03 = 8,155.74 : x
  2. Step 2: Convert to fraction form
    11,662.23/17,466.03 = 8,155.74/x
  3. Step 3: Cross multiply
    11,662.23x = 17,466.03 × 8,155.74
  4. Step 4: Simplify right side
    11,662.23x = 142,448,399.51
  5. Step 5: Solve for x
    x = 142,448,399.51/11,662.23
  6. Step 6: Final answer
    x = 12,214.51

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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.