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Finding the Fourth Proportional to 22,199.41, 30,635.93 and 12,128.78

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Solution

The fourth proportional to 22,199.41, 30,635.93 and 12,128.78 is: 16,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.41 : 30,635.93 = 12,128.78 : x
  2. Step 2: Convert to fraction form
    22,199.41/30,635.93 = 12,128.78/x
  3. Step 3: Cross multiply
    22,199.41x = 30,635.93 × 12,128.78
  4. Step 4: Simplify right side
    22,199.41x = 371,576,471.01
  5. Step 5: Solve for x
    x = 371,576,471.01/22,199.41
  6. Step 6: Final answer
    x = 16,738.13

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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.