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Finding the Fourth Proportional to 13,640.50, 20,465.55 and 6,719.86

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Solution

The fourth proportional to 13,640.50, 20,465.55 and 6,719.86 is: 10,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.50 : 20,465.55 = 6,719.86 : x
  2. Step 2: Convert to fraction form
    13,640.50/20,465.55 = 6,719.86/x
  3. Step 3: Cross multiply
    13,640.50x = 20,465.55 × 6,719.86
  4. Step 4: Simplify right side
    13,640.50x = 137,525,630.82
  5. Step 5: Solve for x
    x = 137,525,630.82/13,640.50
  6. Step 6: Final answer
    x = 10,082.15

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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.