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Finding the Fourth Proportional to 14,135.82, 19,505.16 and 8,168.28

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Solution

The fourth proportional to 14,135.82, 19,505.16 and 8,168.28 is: 11,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.82 : 19,505.16 = 8,168.28 : x
  2. Step 2: Convert to fraction form
    14,135.82/19,505.16 = 8,168.28/x
  3. Step 3: Cross multiply
    14,135.82x = 19,505.16 × 8,168.28
  4. Step 4: Simplify right side
    14,135.82x = 159,323,608.32
  5. Step 5: Solve for x
    x = 159,323,608.32/14,135.82
  6. Step 6: Final answer
    x = 11,270.91

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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.