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Finding the Fourth Proportional to 17,146.90, 25,716.45 and 8,257.70

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Solution

The fourth proportional to 17,146.90, 25,716.45 and 8,257.70 is: 12,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.90 : 25,716.45 = 8,257.70 : x
  2. Step 2: Convert to fraction form
    17,146.90/25,716.45 = 8,257.70/x
  3. Step 3: Cross multiply
    17,146.90x = 25,716.45 × 8,257.70
  4. Step 4: Simplify right side
    17,146.90x = 212,358,631.55
  5. Step 5: Solve for x
    x = 212,358,631.55/17,146.90
  6. Step 6: Final answer
    x = 12,384.67

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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.