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Finding the Fourth Proportional to 12,697.34, 17,522.12 and 7,593.44

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Solution

The fourth proportional to 12,697.34, 17,522.12 and 7,593.44 is: 10,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.34 : 17,522.12 = 7,593.44 : x
  2. Step 2: Convert to fraction form
    12,697.34/17,522.12 = 7,593.44/x
  3. Step 3: Cross multiply
    12,697.34x = 17,522.12 × 7,593.44
  4. Step 4: Simplify right side
    12,697.34x = 133,053,041.32
  5. Step 5: Solve for x
    x = 133,053,041.32/12,697.34
  6. Step 6: Final answer
    x = 10,478.82

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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.