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Finding the Fourth Proportional to 35,644.36, 53,471.40 and 14,863

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Solution

The fourth proportional to 35,644.36, 53,471.40 and 14,863 is: 22,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.36 : 53,471.40 = 14,863 : x
  2. Step 2: Convert to fraction form
    35,644.36/53,471.40 = 14,863/x
  3. Step 3: Cross multiply
    35,644.36x = 53,471.40 × 14,863
  4. Step 4: Simplify right side
    35,644.36x = 794,745,418.20
  5. Step 5: Solve for x
    x = 794,745,418.20/35,644.36
  6. Step 6: Final answer
    x = 22,296.53

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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.