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Finding the Fourth Proportional to 14,135.77, 19,505.91 and 8,169.36

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Solution

The fourth proportional to 14,135.77, 19,505.91 and 8,169.36 is: 11,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.77 : 19,505.91 = 8,169.36 : x
  2. Step 2: Convert to fraction form
    14,135.77/19,505.91 = 8,169.36/x
  3. Step 3: Cross multiply
    14,135.77x = 19,505.91 × 8,169.36
  4. Step 4: Simplify right side
    14,135.77x = 159,350,800.92
  5. Step 5: Solve for x
    x = 159,350,800.92/14,135.77
  6. Step 6: Final answer
    x = 11,272.88

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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.