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Finding the Fourth Proportional to 30,816.88, 42,524.80 and 17,391.36

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Solution

The fourth proportional to 30,816.88, 42,524.80 and 17,391.36 is: 23,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.88 : 42,524.80 = 17,391.36 : x
  2. Step 2: Convert to fraction form
    30,816.88/42,524.80 = 17,391.36/x
  3. Step 3: Cross multiply
    30,816.88x = 42,524.80 × 17,391.36
  4. Step 4: Simplify right side
    30,816.88x = 739,564,105.73
  5. Step 5: Solve for x
    x = 739,564,105.73/30,816.88
  6. Step 6: Final answer
    x = 23,998.67

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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.