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Finding the Fourth Proportional to 13,597.61, 20,396.41 and 4,832.87

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Solution

The fourth proportional to 13,597.61, 20,396.41 and 4,832.87 is: 7,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.61 : 20,396.41 = 4,832.87 : x
  2. Step 2: Convert to fraction form
    13,597.61/20,396.41 = 4,832.87/x
  3. Step 3: Cross multiply
    13,597.61x = 20,396.41 × 4,832.87
  4. Step 4: Simplify right side
    13,597.61x = 98,573,198.00
  5. Step 5: Solve for x
    x = 98,573,198.00/13,597.61
  6. Step 6: Final answer
    x = 7,249.30

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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.