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Finding the Fourth Proportional to 15,811.43, 21,822.09 and 9,523.67

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Solution

The fourth proportional to 15,811.43, 21,822.09 and 9,523.67 is: 13,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.43 : 21,822.09 = 9,523.67 : x
  2. Step 2: Convert to fraction form
    15,811.43/21,822.09 = 9,523.67/x
  3. Step 3: Cross multiply
    15,811.43x = 21,822.09 × 9,523.67
  4. Step 4: Simplify right side
    15,811.43x = 207,826,383.87
  5. Step 5: Solve for x
    x = 207,826,383.87/15,811.43
  6. Step 6: Final answer
    x = 13,144.06

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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.