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Finding the Fourth Proportional to 17,301.60, 23,848.56 and 16,524

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Solution

The fourth proportional to 17,301.60, 23,848.56 and 16,524 is: 22,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.60 : 23,848.56 = 16,524 : x
  2. Step 2: Convert to fraction form
    17,301.60/23,848.56 = 16,524/x
  3. Step 3: Cross multiply
    17,301.60x = 23,848.56 × 16,524
  4. Step 4: Simplify right side
    17,301.60x = 394,073,605.44
  5. Step 5: Solve for x
    x = 394,073,605.44/17,301.60
  6. Step 6: Final answer
    x = 22,776.71

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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.