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Finding the Fourth Proportional to 19,652.23, 27,128.46 and 11,695.21

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Solution

The fourth proportional to 19,652.23, 27,128.46 and 11,695.21 is: 16,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.23 : 27,128.46 = 11,695.21 : x
  2. Step 2: Convert to fraction form
    19,652.23/27,128.46 = 11,695.21/x
  3. Step 3: Cross multiply
    19,652.23x = 27,128.46 × 11,695.21
  4. Step 4: Simplify right side
    19,652.23x = 317,273,036.68
  5. Step 5: Solve for x
    x = 317,273,036.68/19,652.23
  6. Step 6: Final answer
    x = 16,144.38

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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.