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Finding the Fourth Proportional to 13,861.94, 20,762.78 and 8,598.24

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Solution

The fourth proportional to 13,861.94, 20,762.78 and 8,598.24 is: 12,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.94 : 20,762.78 = 8,598.24 : x
  2. Step 2: Convert to fraction form
    13,861.94/20,762.78 = 8,598.24/x
  3. Step 3: Cross multiply
    13,861.94x = 20,762.78 × 8,598.24
  4. Step 4: Simplify right side
    13,861.94x = 178,523,322.52
  5. Step 5: Solve for x
    x = 178,523,322.52/13,861.94
  6. Step 6: Final answer
    x = 12,878.67

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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.