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Finding the Fourth Proportional to 21,813.62, 30,093.46 and 14,257.13

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Solution

The fourth proportional to 21,813.62, 30,093.46 and 14,257.13 is: 19,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.62 : 30,093.46 = 14,257.13 : x
  2. Step 2: Convert to fraction form
    21,813.62/30,093.46 = 14,257.13/x
  3. Step 3: Cross multiply
    21,813.62x = 30,093.46 × 14,257.13
  4. Step 4: Simplify right side
    21,813.62x = 429,046,185.26
  5. Step 5: Solve for x
    x = 429,046,185.26/21,813.62
  6. Step 6: Final answer
    x = 19,668.73

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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.