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Finding the Fourth Proportional to 21,598.27, 32,401.49 and 8,449.81

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Solution

The fourth proportional to 21,598.27, 32,401.49 and 8,449.81 is: 12,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.27 : 32,401.49 = 8,449.81 : x
  2. Step 2: Convert to fraction form
    21,598.27/32,401.49 = 8,449.81/x
  3. Step 3: Cross multiply
    21,598.27x = 32,401.49 × 8,449.81
  4. Step 4: Simplify right side
    21,598.27x = 273,786,434.22
  5. Step 5: Solve for x
    x = 273,786,434.22/21,598.27
  6. Step 6: Final answer
    x = 12,676.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.