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Finding the Fourth Proportional to 21,597.86, 32,396.78 and 12,357.38

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Solution

The fourth proportional to 21,597.86, 32,396.78 and 12,357.38 is: 18,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.86 : 32,396.78 = 12,357.38 : x
  2. Step 2: Convert to fraction form
    21,597.86/32,396.78 = 12,357.38/x
  3. Step 3: Cross multiply
    21,597.86x = 32,396.78 × 12,357.38
  4. Step 4: Simplify right side
    21,597.86x = 400,339,321.24
  5. Step 5: Solve for x
    x = 400,339,321.24/21,597.86
  6. Step 6: Final answer
    x = 18,536.06

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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.