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Finding the Fourth Proportional to 21,901.34, 30,223.84 and 11,829.78

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Solution

The fourth proportional to 21,901.34, 30,223.84 and 11,829.78 is: 16,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.34 : 30,223.84 = 11,829.78 : x
  2. Step 2: Convert to fraction form
    21,901.34/30,223.84 = 11,829.78/x
  3. Step 3: Cross multiply
    21,901.34x = 30,223.84 × 11,829.78
  4. Step 4: Simplify right side
    21,901.34x = 357,541,377.96
  5. Step 5: Solve for x
    x = 357,541,377.96/21,901.34
  6. Step 6: Final answer
    x = 16,325.09

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