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Finding the Fourth Proportional to 14,144.48, 19,519.24 and 7,856.44

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Solution

The fourth proportional to 14,144.48, 19,519.24 and 7,856.44 is: 10,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.48 : 19,519.24 = 7,856.44 : x
  2. Step 2: Convert to fraction form
    14,144.48/19,519.24 = 7,856.44/x
  3. Step 3: Cross multiply
    14,144.48x = 19,519.24 × 7,856.44
  4. Step 4: Simplify right side
    14,144.48x = 153,351,737.91
  5. Step 5: Solve for x
    x = 153,351,737.91/14,144.48
  6. Step 6: Final answer
    x = 10,841.81

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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.