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Finding the Fourth Proportional to 14,144.66, 19,519.74 and 8,842.61

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Solution

The fourth proportional to 14,144.66, 19,519.74 and 8,842.61 is: 12,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.66 : 19,519.74 = 8,842.61 : x
  2. Step 2: Convert to fraction form
    14,144.66/19,519.74 = 8,842.61/x
  3. Step 3: Cross multiply
    14,144.66x = 19,519.74 × 8,842.61
  4. Step 4: Simplify right side
    14,144.66x = 172,605,350.52
  5. Step 5: Solve for x
    x = 172,605,350.52/14,144.66
  6. Step 6: Final answer
    x = 12,202.87

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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.