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Finding the Fourth Proportional to 21,538.35, 32,294.30 and 8,375.39

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Solution

The fourth proportional to 21,538.35, 32,294.30 and 8,375.39 is: 12,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.35 : 32,294.30 = 8,375.39 : x
  2. Step 2: Convert to fraction form
    21,538.35/32,294.30 = 8,375.39/x
  3. Step 3: Cross multiply
    21,538.35x = 32,294.30 × 8,375.39
  4. Step 4: Simplify right side
    21,538.35x = 270,477,153.93
  5. Step 5: Solve for x
    x = 270,477,153.93/21,538.35
  6. Step 6: Final answer
    x = 12,557.93

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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.