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Finding the Fourth Proportional to 14,109.43, 19,465.99 and 8,142.61

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Solution

The fourth proportional to 14,109.43, 19,465.99 and 8,142.61 is: 11,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.43 : 19,465.99 = 8,142.61 : x
  2. Step 2: Convert to fraction form
    14,109.43/19,465.99 = 8,142.61/x
  3. Step 3: Cross multiply
    14,109.43x = 19,465.99 × 8,142.61
  4. Step 4: Simplify right side
    14,109.43x = 158,503,964.83
  5. Step 5: Solve for x
    x = 158,503,964.83/14,109.43
  6. Step 6: Final answer
    x = 11,233.90

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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.