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Finding the Fourth Proportional to 23,380.80, 32,265.51 and 12,770.47

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Solution

The fourth proportional to 23,380.80, 32,265.51 and 12,770.47 is: 17,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.80 : 32,265.51 = 12,770.47 : x
  2. Step 2: Convert to fraction form
    23,380.80/32,265.51 = 12,770.47/x
  3. Step 3: Cross multiply
    23,380.80x = 32,265.51 × 12,770.47
  4. Step 4: Simplify right side
    23,380.80x = 412,045,727.49
  5. Step 5: Solve for x
    x = 412,045,727.49/23,380.80
  6. Step 6: Final answer
    x = 17,623.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.