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Finding the Fourth Proportional to 22,223.23, 33,335.48 and 9,736.81

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Solution

The fourth proportional to 22,223.23, 33,335.48 and 9,736.81 is: 14,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223.23 : 33,335.48 = 9,736.81 : x
  2. Step 2: Convert to fraction form
    22,223.23/33,335.48 = 9,736.81/x
  3. Step 3: Cross multiply
    22,223.23x = 33,335.48 × 9,736.81
  4. Step 4: Simplify right side
    22,223.23x = 324,581,176.02
  5. Step 5: Solve for x
    x = 324,581,176.02/22,223.23
  6. Step 6: Final answer
    x = 14,605.49

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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.