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Finding the Fourth Proportional to 13,385.24, 20,072.03 and 7,143.86

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Solution

The fourth proportional to 13,385.24, 20,072.03 and 7,143.86 is: 10,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.24 : 20,072.03 = 7,143.86 : x
  2. Step 2: Convert to fraction form
    13,385.24/20,072.03 = 7,143.86/x
  3. Step 3: Cross multiply
    13,385.24x = 20,072.03 × 7,143.86
  4. Step 4: Simplify right side
    13,385.24x = 143,391,636.16
  5. Step 5: Solve for x
    x = 143,391,636.16/13,385.24
  6. Step 6: Final answer
    x = 10,712.67

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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.