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Finding the Fourth Proportional to 14,185.51, 21,271.99 and 5,414.29

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Solution

The fourth proportional to 14,185.51, 21,271.99 and 5,414.29 is: 8,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.51 : 21,271.99 = 5,414.29 : x
  2. Step 2: Convert to fraction form
    14,185.51/21,271.99 = 5,414.29/x
  3. Step 3: Cross multiply
    14,185.51x = 21,271.99 × 5,414.29
  4. Step 4: Simplify right side
    14,185.51x = 115,172,722.74
  5. Step 5: Solve for x
    x = 115,172,722.74/14,185.51
  6. Step 6: Final answer
    x = 8,119.04

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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.