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Finding the Fourth Proportional to 13,865.94, 20,768.78 and 8,602.24

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Solution

The fourth proportional to 13,865.94, 20,768.78 and 8,602.24 is: 12,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.94 : 20,768.78 = 8,602.24 : x
  2. Step 2: Convert to fraction form
    13,865.94/20,768.78 = 8,602.24/x
  3. Step 3: Cross multiply
    13,865.94x = 20,768.78 × 8,602.24
  4. Step 4: Simplify right side
    13,865.94x = 178,658,030.07
  5. Step 5: Solve for x
    x = 178,658,030.07/13,865.94
  6. Step 6: Final answer
    x = 12,884.67

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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.