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Finding the Fourth Proportional to 14,616.75, 21,922.69 and 5,254.88

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Solution

The fourth proportional to 14,616.75, 21,922.69 and 5,254.88 is: 7,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.75 : 21,922.69 = 5,254.88 : x
  2. Step 2: Convert to fraction form
    14,616.75/21,922.69 = 5,254.88/x
  3. Step 3: Cross multiply
    14,616.75x = 21,922.69 × 5,254.88
  4. Step 4: Simplify right side
    14,616.75x = 115,201,105.23
  5. Step 5: Solve for x
    x = 115,201,105.23/14,616.75
  6. Step 6: Final answer
    x = 7,881.44

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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.