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Finding the Fourth Proportional to 17,657.44, 24,364.56 and 10,204

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Solution

The fourth proportional to 17,657.44, 24,364.56 and 10,204 is: 14,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.44 : 24,364.56 = 10,204 : x
  2. Step 2: Convert to fraction form
    17,657.44/24,364.56 = 10,204/x
  3. Step 3: Cross multiply
    17,657.44x = 24,364.56 × 10,204
  4. Step 4: Simplify right side
    17,657.44x = 248,615,970.24
  5. Step 5: Solve for x
    x = 248,615,970.24/17,657.44
  6. Step 6: Final answer
    x = 14,079.96

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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.