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Finding the Fourth Proportional to 14,105.96, 19,465.74 and 8,137.47

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Solution

The fourth proportional to 14,105.96, 19,465.74 and 8,137.47 is: 11,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.96 : 19,465.74 = 8,137.47 : x
  2. Step 2: Convert to fraction form
    14,105.96/19,465.74 = 8,137.47/x
  3. Step 3: Cross multiply
    14,105.96x = 19,465.74 × 8,137.47
  4. Step 4: Simplify right side
    14,105.96x = 158,401,875.28
  5. Step 5: Solve for x
    x = 158,401,875.28/14,105.96
  6. Step 6: Final answer
    x = 11,229.43

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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.