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Finding the Fourth Proportional to 17,578.12, 26,377.56 and 6,492.56

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Solution

The fourth proportional to 17,578.12, 26,377.56 and 6,492.56 is: 9,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.12 : 26,377.56 = 6,492.56 : x
  2. Step 2: Convert to fraction form
    17,578.12/26,377.56 = 6,492.56/x
  3. Step 3: Cross multiply
    17,578.12x = 26,377.56 × 6,492.56
  4. Step 4: Simplify right side
    17,578.12x = 171,257,890.95
  5. Step 5: Solve for x
    x = 171,257,890.95/17,578.12
  6. Step 6: Final answer
    x = 9,742.67

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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.