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Finding the Fourth Proportional to 14,135.76, 19,505.08 and 8,168.22

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Solution

The fourth proportional to 14,135.76, 19,505.08 and 8,168.22 is: 11,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.76 : 19,505.08 = 8,168.22 : x
  2. Step 2: Convert to fraction form
    14,135.76/19,505.08 = 8,168.22/x
  3. Step 3: Cross multiply
    14,135.76x = 19,505.08 × 8,168.22
  4. Step 4: Simplify right side
    14,135.76x = 159,321,743.72
  5. Step 5: Solve for x
    x = 159,321,743.72/14,135.76
  6. Step 6: Final answer
    x = 11,270.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.