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Finding the Fourth Proportional to 21,675.26, 32,515.61 and 7,446.49

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Solution

The fourth proportional to 21,675.26, 32,515.61 and 7,446.49 is: 11,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.26 : 32,515.61 = 7,446.49 : x
  2. Step 2: Convert to fraction form
    21,675.26/32,515.61 = 7,446.49/x
  3. Step 3: Cross multiply
    21,675.26x = 32,515.61 × 7,446.49
  4. Step 4: Simplify right side
    21,675.26x = 242,127,046.19
  5. Step 5: Solve for x
    x = 242,127,046.19/21,675.26
  6. Step 6: Final answer
    x = 11,170.66

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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.