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Finding the Fourth Proportional to 22,200.84, 30,637.26 and 12,129.12

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Solution

The fourth proportional to 22,200.84, 30,637.26 and 12,129.12 is: 16,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.84 : 30,637.26 = 12,129.12 : x
  2. Step 2: Convert to fraction form
    22,200.84/30,637.26 = 12,129.12/x
  3. Step 3: Cross multiply
    22,200.84x = 30,637.26 × 12,129.12
  4. Step 4: Simplify right side
    22,200.84x = 371,603,003.01
  5. Step 5: Solve for x
    x = 371,603,003.01/22,200.84
  6. Step 6: Final answer
    x = 16,738.24

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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.