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Finding the Fourth Proportional to 21,675.75, 32,513.63 and 6,093.38

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Solution

The fourth proportional to 21,675.75, 32,513.63 and 6,093.38 is: 9,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.75 : 32,513.63 = 6,093.38 : x
  2. Step 2: Convert to fraction form
    21,675.75/32,513.63 = 6,093.38/x
  3. Step 3: Cross multiply
    21,675.75x = 32,513.63 × 6,093.38
  4. Step 4: Simplify right side
    21,675.75x = 198,117,902.77
  5. Step 5: Solve for x
    x = 198,117,902.77/21,675.75
  6. Step 6: Final answer
    x = 9,140.07

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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.