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Finding the Fourth Proportional to 15,861.95, 21,884.50 and 9,146.67

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Solution

The fourth proportional to 15,861.95, 21,884.50 and 9,146.67 is: 12,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.95 : 21,884.50 = 9,146.67 : x
  2. Step 2: Convert to fraction form
    15,861.95/21,884.50 = 9,146.67/x
  3. Step 3: Cross multiply
    15,861.95x = 21,884.50 × 9,146.67
  4. Step 4: Simplify right side
    15,861.95x = 200,170,299.62
  5. Step 5: Solve for x
    x = 200,170,299.62/15,861.95
  6. Step 6: Final answer
    x = 12,619.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.