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Finding the Fourth Proportional to 23,774.82, 32,809.46 and 13,164.63

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Solution

The fourth proportional to 23,774.82, 32,809.46 and 13,164.63 is: 18,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.82 : 32,809.46 = 13,164.63 : x
  2. Step 2: Convert to fraction form
    23,774.82/32,809.46 = 13,164.63/x
  3. Step 3: Cross multiply
    23,774.82x = 32,809.46 × 13,164.63
  4. Step 4: Simplify right side
    23,774.82x = 431,924,212.54
  5. Step 5: Solve for x
    x = 431,924,212.54/23,774.82
  6. Step 6: Final answer
    x = 18,167.30

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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.