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Finding the Fourth Proportional to 23,164.80, 31,967.49 and 13,602.84

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Solution

The fourth proportional to 23,164.80, 31,967.49 and 13,602.84 is: 18,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.80 : 31,967.49 = 13,602.84 : x
  2. Step 2: Convert to fraction form
    23,164.80/31,967.49 = 13,602.84/x
  3. Step 3: Cross multiply
    23,164.80x = 31,967.49 × 13,602.84
  4. Step 4: Simplify right side
    23,164.80x = 434,848,651.67
  5. Step 5: Solve for x
    x = 434,848,651.67/23,164.80
  6. Step 6: Final answer
    x = 18,771.96

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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.