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Finding the Fourth Proportional to 14,185.14, 21,274.97 and 5,417.97

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Solution

The fourth proportional to 14,185.14, 21,274.97 and 5,417.97 is: 8,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.14 : 21,274.97 = 5,417.97 : x
  2. Step 2: Convert to fraction form
    14,185.14/21,274.97 = 5,417.97/x
  3. Step 3: Cross multiply
    14,185.14x = 21,274.97 × 5,417.97
  4. Step 4: Simplify right side
    14,185.14x = 115,267,122.12
  5. Step 5: Solve for x
    x = 115,267,122.12/14,185.14
  6. Step 6: Final answer
    x = 8,125.91

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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.