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Finding the Fourth Proportional to 17,143.60, 25,714.84 and 10,171.40

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Solution

The fourth proportional to 17,143.60, 25,714.84 and 10,171.40 is: 15,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.60 : 25,714.84 = 10,171.40 : x
  2. Step 2: Convert to fraction form
    17,143.60/25,714.84 = 10,171.40/x
  3. Step 3: Cross multiply
    17,143.60x = 25,714.84 × 10,171.40
  4. Step 4: Simplify right side
    17,143.60x = 261,555,923.58
  5. Step 5: Solve for x
    x = 261,555,923.58/17,143.60
  6. Step 6: Final answer
    x = 15,256.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.