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Finding the Fourth Proportional to 14,105.88, 19,465.62 and 8,137.80

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Solution

The fourth proportional to 14,105.88, 19,465.62 and 8,137.80 is: 11,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.88 : 19,465.62 = 8,137.80 : x
  2. Step 2: Convert to fraction form
    14,105.88/19,465.62 = 8,137.80/x
  3. Step 3: Cross multiply
    14,105.88x = 19,465.62 × 8,137.80
  4. Step 4: Simplify right side
    14,105.88x = 158,407,291.92
  5. Step 5: Solve for x
    x = 158,407,291.92/14,105.88
  6. Step 6: Final answer
    x = 11,229.88

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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.