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Finding the Fourth Proportional to 17,714.47, 24,440.46 and 10,056.49

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Solution

The fourth proportional to 17,714.47, 24,440.46 and 10,056.49 is: 13,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.47 : 24,440.46 = 10,056.49 : x
  2. Step 2: Convert to fraction form
    17,714.47/24,440.46 = 10,056.49/x
  3. Step 3: Cross multiply
    17,714.47x = 24,440.46 × 10,056.49
  4. Step 4: Simplify right side
    17,714.47x = 245,785,241.59
  5. Step 5: Solve for x
    x = 245,785,241.59/17,714.47
  6. Step 6: Final answer
    x = 13,874.83

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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.