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Finding the Fourth Proportional to 24,714, 34,105.32 and 13,536.24

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Solution

The fourth proportional to 24,714, 34,105.32 and 13,536.24 is: 18,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714 : 34,105.32 = 13,536.24 : x
  2. Step 2: Convert to fraction form
    24,714/34,105.32 = 13,536.24/x
  3. Step 3: Cross multiply
    24,714x = 34,105.32 × 13,536.24
  4. Step 4: Simplify right side
    24,714x = 461,657,796.80
  5. Step 5: Solve for x
    x = 461,657,796.80/24,714
  6. Step 6: Final answer
    x = 18,680.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.