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Finding the Fourth Proportional to 14,863.68, 20,493 and 10,619.82

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Solution

The fourth proportional to 14,863.68, 20,493 and 10,619.82 is: 14,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.68 : 20,493 = 10,619.82 : x
  2. Step 2: Convert to fraction form
    14,863.68/20,493 = 10,619.82/x
  3. Step 3: Cross multiply
    14,863.68x = 20,493 × 10,619.82
  4. Step 4: Simplify right side
    14,863.68x = 217,631,971.26
  5. Step 5: Solve for x
    x = 217,631,971.26/14,863.68
  6. Step 6: Final answer
    x = 14,641.86

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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.