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Finding the Fourth Proportional to 19,632, 27,091.95 and 11,674.05

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Solution

The fourth proportional to 19,632, 27,091.95 and 11,674.05 is: 16,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 27,091.95 = 11,674.05 : x
  2. Step 2: Convert to fraction form
    19,632/27,091.95 = 11,674.05/x
  3. Step 3: Cross multiply
    19,632x = 27,091.95 × 11,674.05
  4. Step 4: Simplify right side
    19,632x = 316,272,778.90
  5. Step 5: Solve for x
    x = 316,272,778.90/19,632
  6. Step 6: Final answer
    x = 16,110.06

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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.