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Finding the Fourth Proportional to 23,722.84, 35,589.66 and 8,139.52

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Solution

The fourth proportional to 23,722.84, 35,589.66 and 8,139.52 is: 12,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.84 : 35,589.66 = 8,139.52 : x
  2. Step 2: Convert to fraction form
    23,722.84/35,589.66 = 8,139.52/x
  3. Step 3: Cross multiply
    23,722.84x = 35,589.66 × 8,139.52
  4. Step 4: Simplify right side
    23,722.84x = 289,682,749.36
  5. Step 5: Solve for x
    x = 289,682,749.36/23,722.84
  6. Step 6: Final answer
    x = 12,211.13

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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.