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Finding the Fourth Proportional to 12,947, 19,422.84 and 8,568.08

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Solution

The fourth proportional to 12,947, 19,422.84 and 8,568.08 is: 12,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947 : 19,422.84 = 8,568.08 : x
  2. Step 2: Convert to fraction form
    12,947/19,422.84 = 8,568.08/x
  3. Step 3: Cross multiply
    12,947x = 19,422.84 × 8,568.08
  4. Step 4: Simplify right side
    12,947x = 166,416,446.95
  5. Step 5: Solve for x
    x = 166,416,446.95/12,947
  6. Step 6: Final answer
    x = 12,853.67

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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.