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Finding the Fourth Proportional to 15,846.71, 21,863.52 and 10,542.42

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Solution

The fourth proportional to 15,846.71, 21,863.52 and 10,542.42 is: 14,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.71 : 21,863.52 = 10,542.42 : x
  2. Step 2: Convert to fraction form
    15,846.71/21,863.52 = 10,542.42/x
  3. Step 3: Cross multiply
    15,846.71x = 21,863.52 × 10,542.42
  4. Step 4: Simplify right side
    15,846.71x = 230,494,410.52
  5. Step 5: Solve for x
    x = 230,494,410.52/15,846.71
  6. Step 6: Final answer
    x = 14,545.26

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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.