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Finding the Fourth Proportional to 21,675.85, 32,513.77 and 6,093.47

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Solution

The fourth proportional to 21,675.85, 32,513.77 and 6,093.47 is: 9,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.85 : 32,513.77 = 6,093.47 : x
  2. Step 2: Convert to fraction form
    21,675.85/32,513.77 = 6,093.47/x
  3. Step 3: Cross multiply
    21,675.85x = 32,513.77 × 6,093.47
  4. Step 4: Simplify right side
    21,675.85x = 198,121,748.13
  5. Step 5: Solve for x
    x = 198,121,748.13/21,675.85
  6. Step 6: Final answer
    x = 9,140.21

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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.