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Finding the Fourth Proportional to 12,832.98, 17,714.22 and 7,532.24

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Solution

The fourth proportional to 12,832.98, 17,714.22 and 7,532.24 is: 10,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.98 : 17,714.22 = 7,532.24 : x
  2. Step 2: Convert to fraction form
    12,832.98/17,714.22 = 7,532.24/x
  3. Step 3: Cross multiply
    12,832.98x = 17,714.22 × 7,532.24
  4. Step 4: Simplify right side
    12,832.98x = 133,427,756.45
  5. Step 5: Solve for x
    x = 133,427,756.45/12,832.98
  6. Step 6: Final answer
    x = 10,397.25

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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.