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Finding the Fourth Proportional to 21,202.23, 29,261.41 and 12,128.45

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Solution

The fourth proportional to 21,202.23, 29,261.41 and 12,128.45 is: 16,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.23 : 29,261.41 = 12,128.45 : x
  2. Step 2: Convert to fraction form
    21,202.23/29,261.41 = 12,128.45/x
  3. Step 3: Cross multiply
    21,202.23x = 29,261.41 × 12,128.45
  4. Step 4: Simplify right side
    21,202.23x = 354,895,371.49
  5. Step 5: Solve for x
    x = 354,895,371.49/21,202.23
  6. Step 6: Final answer
    x = 16,738.58

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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.