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Finding the Fourth Proportional to 22,604.16, 33,900.16 and 9,453.84

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Solution

The fourth proportional to 22,604.16, 33,900.16 and 9,453.84 is: 14,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.16 : 33,900.16 = 9,453.84 : x
  2. Step 2: Convert to fraction form
    22,604.16/33,900.16 = 9,453.84/x
  3. Step 3: Cross multiply
    22,604.16x = 33,900.16 × 9,453.84
  4. Step 4: Simplify right side
    22,604.16x = 320,486,688.61
  5. Step 5: Solve for x
    x = 320,486,688.61/22,604.16
  6. Step 6: Final answer
    x = 14,178.22

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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.