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Finding the Fourth Proportional to 21,713.38, 32,570.14 and 5,297.38

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Solution

The fourth proportional to 21,713.38, 32,570.14 and 5,297.38 is: 7,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.38 : 32,570.14 = 5,297.38 : x
  2. Step 2: Convert to fraction form
    21,713.38/32,570.14 = 5,297.38/x
  3. Step 3: Cross multiply
    21,713.38x = 32,570.14 × 5,297.38
  4. Step 4: Simplify right side
    21,713.38x = 172,536,408.23
  5. Step 5: Solve for x
    x = 172,536,408.23/21,713.38
  6. Step 6: Final answer
    x = 7,946.09

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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.