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Finding the Fourth Proportional to 18,490.80, 27,743.12 and 9,600.58

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Solution

The fourth proportional to 18,490.80, 27,743.12 and 9,600.58 is: 14,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.80 : 27,743.12 = 9,600.58 : x
  2. Step 2: Convert to fraction form
    18,490.80/27,743.12 = 9,600.58/x
  3. Step 3: Cross multiply
    18,490.80x = 27,743.12 × 9,600.58
  4. Step 4: Simplify right side
    18,490.80x = 266,349,997.65
  5. Step 5: Solve for x
    x = 266,349,997.65/18,490.80
  6. Step 6: Final answer
    x = 14,404.46

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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.