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Finding the Fourth Proportional to 14,474.40, 21,714.96 and 5,708.64

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Solution

The fourth proportional to 14,474.40, 21,714.96 and 5,708.64 is: 8,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.40 : 21,714.96 = 5,708.64 : x
  2. Step 2: Convert to fraction form
    14,474.40/21,714.96 = 5,708.64/x
  3. Step 3: Cross multiply
    14,474.40x = 21,714.96 × 5,708.64
  4. Step 4: Simplify right side
    14,474.40x = 123,962,889.25
  5. Step 5: Solve for x
    x = 123,962,889.25/14,474.40
  6. Step 6: Final answer
    x = 8,564.29

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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.