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Finding the Fourth Proportional to 14,504.36, 21,754.92 and 5,143.60

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Solution

The fourth proportional to 14,504.36, 21,754.92 and 5,143.60 is: 7,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.36 : 21,754.92 = 5,143.60 : x
  2. Step 2: Convert to fraction form
    14,504.36/21,754.92 = 5,143.60/x
  3. Step 3: Cross multiply
    14,504.36x = 21,754.92 × 5,143.60
  4. Step 4: Simplify right side
    14,504.36x = 111,898,497.74
  5. Step 5: Solve for x
    x = 111,898,497.74/14,504.36
  6. Step 6: Final answer
    x = 7,714.82

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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.