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Finding the Fourth Proportional to 21,809, 32,713.82 and 5,393

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Solution

The fourth proportional to 21,809, 32,713.82 and 5,393 is: 8,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809 : 32,713.82 = 5,393 : x
  2. Step 2: Convert to fraction form
    21,809/32,713.82 = 5,393/x
  3. Step 3: Cross multiply
    21,809x = 32,713.82 × 5,393
  4. Step 4: Simplify right side
    21,809x = 176,425,631.26
  5. Step 5: Solve for x
    x = 176,425,631.26/21,809
  6. Step 6: Final answer
    x = 8,089.58

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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.