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Finding the Fourth Proportional to 23,770.98, 32,800.68 and 13,698.63

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Solution

The fourth proportional to 23,770.98, 32,800.68 and 13,698.63 is: 18,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.98 : 32,800.68 = 13,698.63 : x
  2. Step 2: Convert to fraction form
    23,770.98/32,800.68 = 13,698.63/x
  3. Step 3: Cross multiply
    23,770.98x = 32,800.68 × 13,698.63
  4. Step 4: Simplify right side
    23,770.98x = 449,324,379.07
  5. Step 5: Solve for x
    x = 449,324,379.07/23,770.98
  6. Step 6: Final answer
    x = 18,902.22

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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.