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Finding the Fourth Proportional to 12,832.50, 19,249.84 and 3,598.50

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Solution

The fourth proportional to 12,832.50, 19,249.84 and 3,598.50 is: 5,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.50 : 19,249.84 = 3,598.50 : x
  2. Step 2: Convert to fraction form
    12,832.50/19,249.84 = 3,598.50/x
  3. Step 3: Cross multiply
    12,832.50x = 19,249.84 × 3,598.50
  4. Step 4: Simplify right side
    12,832.50x = 69,270,549.24
  5. Step 5: Solve for x
    x = 69,270,549.24/12,832.50
  6. Step 6: Final answer
    x = 5,398.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.