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Finding the Fourth Proportional to 13,897.99, 19,181.09 and 8,232.30

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Solution

The fourth proportional to 13,897.99, 19,181.09 and 8,232.30 is: 11,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.99 : 19,181.09 = 8,232.30 : x
  2. Step 2: Convert to fraction form
    13,897.99/19,181.09 = 8,232.30/x
  3. Step 3: Cross multiply
    13,897.99x = 19,181.09 × 8,232.30
  4. Step 4: Simplify right side
    13,897.99x = 157,904,487.21
  5. Step 5: Solve for x
    x = 157,904,487.21/13,897.99
  6. Step 6: Final answer
    x = 11,361.68

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1.5x scale

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.