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Finding the Fourth Proportional to 19,632, 27,092.43 and 11,248.50

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Solution

The fourth proportional to 19,632, 27,092.43 and 11,248.50 is: 15,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 27,092.43 = 11,248.50 : x
  2. Step 2: Convert to fraction form
    19,632/27,092.43 = 11,248.50/x
  3. Step 3: Cross multiply
    19,632x = 27,092.43 × 11,248.50
  4. Step 4: Simplify right side
    19,632x = 304,749,198.86
  5. Step 5: Solve for x
    x = 304,749,198.86/19,632
  6. Step 6: Final answer
    x = 15,523.08

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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.