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Finding the Fourth Proportional to 24,006, 33,128.16 and 13,395

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Solution

The fourth proportional to 24,006, 33,128.16 and 13,395 is: 18,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006 : 33,128.16 = 13,395 : x
  2. Step 2: Convert to fraction form
    24,006/33,128.16 = 13,395/x
  3. Step 3: Cross multiply
    24,006x = 33,128.16 × 13,395
  4. Step 4: Simplify right side
    24,006x = 443,751,703.20
  5. Step 5: Solve for x
    x = 443,751,703.20/24,006
  6. Step 6: Final answer
    x = 18,485.03

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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.