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Finding the Fourth Proportional to 19,857.44, 29,781.24 and 6,709.52

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Solution

The fourth proportional to 19,857.44, 29,781.24 and 6,709.52 is: 10,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.44 : 29,781.24 = 6,709.52 : x
  2. Step 2: Convert to fraction form
    19,857.44/29,781.24 = 6,709.52/x
  3. Step 3: Cross multiply
    19,857.44x = 29,781.24 × 6,709.52
  4. Step 4: Simplify right side
    19,857.44x = 199,817,825.40
  5. Step 5: Solve for x
    x = 199,817,825.40/19,857.44
  6. Step 6: Final answer
    x = 10,062.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.