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Finding the Fourth Proportional to 22,204.38, 30,642.75 and 12,133.77

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Solution

The fourth proportional to 22,204.38, 30,642.75 and 12,133.77 is: 16,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.38 : 30,642.75 = 12,133.77 : x
  2. Step 2: Convert to fraction form
    22,204.38/30,642.75 = 12,133.77/x
  3. Step 3: Cross multiply
    22,204.38x = 30,642.75 × 12,133.77
  4. Step 4: Simplify right side
    22,204.38x = 371,812,080.67
  5. Step 5: Solve for x
    x = 371,812,080.67/22,204.38
  6. Step 6: Final answer
    x = 16,744.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.