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Finding the Fourth Proportional to 22,758.72, 34,139.28 and 8,716.14

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Solution

The fourth proportional to 22,758.72, 34,139.28 and 8,716.14 is: 13,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.72 : 34,139.28 = 8,716.14 : x
  2. Step 2: Convert to fraction form
    22,758.72/34,139.28 = 8,716.14/x
  3. Step 3: Cross multiply
    22,758.72x = 34,139.28 × 8,716.14
  4. Step 4: Simplify right side
    22,758.72x = 297,562,743.98
  5. Step 5: Solve for x
    x = 297,562,743.98/22,758.72
  6. Step 6: Final answer
    x = 13,074.67

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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.