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Finding the Fourth Proportional to 21,907.70, 30,233.24 and 13,409.66

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Solution

The fourth proportional to 21,907.70, 30,233.24 and 13,409.66 is: 18,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.70 : 30,233.24 = 13,409.66 : x
  2. Step 2: Convert to fraction form
    21,907.70/30,233.24 = 13,409.66/x
  3. Step 3: Cross multiply
    21,907.70x = 30,233.24 × 13,409.66
  4. Step 4: Simplify right side
    21,907.70x = 405,417,469.10
  5. Step 5: Solve for x
    x = 405,417,469.10/21,907.70
  6. Step 6: Final answer
    x = 18,505.71

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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.