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Finding the Fourth Proportional to 19,593, 27,038.34 and 11,209.50

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Solution

The fourth proportional to 19,593, 27,038.34 and 11,209.50 is: 15,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,593 : 27,038.34 = 11,209.50 : x
  2. Step 2: Convert to fraction form
    19,593/27,038.34 = 11,209.50/x
  3. Step 3: Cross multiply
    19,593x = 27,038.34 × 11,209.50
  4. Step 4: Simplify right side
    19,593x = 303,086,272.23
  5. Step 5: Solve for x
    x = 303,086,272.23/19,593
  6. Step 6: Final answer
    x = 15,469.11

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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.