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Finding the Fourth Proportional to 14,474.76, 21,714.73 and 5,120.21

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Solution

The fourth proportional to 14,474.76, 21,714.73 and 5,120.21 is: 7,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.76 : 21,714.73 = 5,120.21 : x
  2. Step 2: Convert to fraction form
    14,474.76/21,714.73 = 5,120.21/x
  3. Step 3: Cross multiply
    14,474.76x = 21,714.73 × 5,120.21
  4. Step 4: Simplify right side
    14,474.76x = 111,183,843.52
  5. Step 5: Solve for x
    x = 111,183,843.52/14,474.76
  6. Step 6: Final answer
    x = 7,681.22

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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.