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Finding the Fourth Proportional to 18,633.93, 27,945.36 and 9,864.06

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Solution

The fourth proportional to 18,633.93, 27,945.36 and 9,864.06 is: 14,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.93 : 27,945.36 = 9,864.06 : x
  2. Step 2: Convert to fraction form
    18,633.93/27,945.36 = 9,864.06/x
  3. Step 3: Cross multiply
    18,633.93x = 27,945.36 × 9,864.06
  4. Step 4: Simplify right side
    18,633.93x = 275,654,707.76
  5. Step 5: Solve for x
    x = 275,654,707.76/18,633.93
  6. Step 6: Final answer
    x = 14,793.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.