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Finding the Fourth Proportional to 23,770.84, 32,806.20 and 13,699.66

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Solution

The fourth proportional to 23,770.84, 32,806.20 and 13,699.66 is: 18,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.84 : 32,806.20 = 13,699.66 : x
  2. Step 2: Convert to fraction form
    23,770.84/32,806.20 = 13,699.66/x
  3. Step 3: Cross multiply
    23,770.84x = 32,806.20 × 13,699.66
  4. Step 4: Simplify right side
    23,770.84x = 449,433,785.89
  5. Step 5: Solve for x
    x = 449,433,785.89/23,770.84
  6. Step 6: Final answer
    x = 18,906.94

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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.