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Finding the Fourth Proportional to 17,714.25, 24,443.54 and 10,160.19

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Solution

The fourth proportional to 17,714.25, 24,443.54 and 10,160.19 is: 14,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.25 : 24,443.54 = 10,160.19 : x
  2. Step 2: Convert to fraction form
    17,714.25/24,443.54 = 10,160.19/x
  3. Step 3: Cross multiply
    17,714.25x = 24,443.54 × 10,160.19
  4. Step 4: Simplify right side
    17,714.25x = 248,350,997.97
  5. Step 5: Solve for x
    x = 248,350,997.97/17,714.25
  6. Step 6: Final answer
    x = 14,019.84

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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.