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Finding the Fourth Proportional to 14,644.42, 21,953.19 and 5,282.24

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Solution

The fourth proportional to 14,644.42, 21,953.19 and 5,282.24 is: 7,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.42 : 21,953.19 = 5,282.24 : x
  2. Step 2: Convert to fraction form
    14,644.42/21,953.19 = 5,282.24/x
  3. Step 3: Cross multiply
    14,644.42x = 21,953.19 × 5,282.24
  4. Step 4: Simplify right side
    14,644.42x = 115,962,018.35
  5. Step 5: Solve for x
    x = 115,962,018.35/14,644.42
  6. Step 6: Final answer
    x = 7,918.51

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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.