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Finding the Fourth Proportional to 23,774.78, 32,809.20 and 13,164.42

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Solution

The fourth proportional to 23,774.78, 32,809.20 and 13,164.42 is: 18,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.78 : 32,809.20 = 13,164.42 : x
  2. Step 2: Convert to fraction form
    23,774.78/32,809.20 = 13,164.42/x
  3. Step 3: Cross multiply
    23,774.78x = 32,809.20 × 13,164.42
  4. Step 4: Simplify right side
    23,774.78x = 431,913,965.63
  5. Step 5: Solve for x
    x = 431,913,965.63/23,774.78
  6. Step 6: Final answer
    x = 18,166.89

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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.