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Finding the Fourth Proportional to 14,144.92, 19,519.47 and 7,857.70

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Solution

The fourth proportional to 14,144.92, 19,519.47 and 7,857.70 is: 10,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.92 : 19,519.47 = 7,857.70 : x
  2. Step 2: Convert to fraction form
    14,144.92/19,519.47 = 7,857.70/x
  3. Step 3: Cross multiply
    14,144.92x = 19,519.47 × 7,857.70
  4. Step 4: Simplify right side
    14,144.92x = 153,378,139.42
  5. Step 5: Solve for x
    x = 153,378,139.42/14,144.92
  6. Step 6: Final answer
    x = 10,843.34

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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.