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Finding the Fourth Proportional to 23,770.41, 32,806.62 and 13,696.89

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Solution

The fourth proportional to 23,770.41, 32,806.62 and 13,696.89 is: 18,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.41 : 32,806.62 = 13,696.89 : x
  2. Step 2: Convert to fraction form
    23,770.41/32,806.62 = 13,696.89/x
  3. Step 3: Cross multiply
    23,770.41x = 32,806.62 × 13,696.89
  4. Step 4: Simplify right side
    23,770.41x = 449,348,665.41
  5. Step 5: Solve for x
    x = 449,348,665.41/23,770.41
  6. Step 6: Final answer
    x = 18,903.70

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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.