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Finding the Fourth Proportional to 18,203.16, 27,287.73 and 8,332.50

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Solution

The fourth proportional to 18,203.16, 27,287.73 and 8,332.50 is: 12,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,203.16 : 27,287.73 = 8,332.50 : x
  2. Step 2: Convert to fraction form
    18,203.16/27,287.73 = 8,332.50/x
  3. Step 3: Cross multiply
    18,203.16x = 27,287.73 × 8,332.50
  4. Step 4: Simplify right side
    18,203.16x = 227,375,010.23
  5. Step 5: Solve for x
    x = 227,375,010.23/18,203.16
  6. Step 6: Final answer
    x = 12,490.96

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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.