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Finding the Fourth Proportional to 13,465.85, 20,200.15 and 5,152.85

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Solution

The fourth proportional to 13,465.85, 20,200.15 and 5,152.85 is: 7,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.85 : 20,200.15 = 5,152.85 : x
  2. Step 2: Convert to fraction form
    13,465.85/20,200.15 = 5,152.85/x
  3. Step 3: Cross multiply
    13,465.85x = 20,200.15 × 5,152.85
  4. Step 4: Simplify right side
    13,465.85x = 104,088,324.12
  5. Step 5: Solve for x
    x = 104,088,324.12/13,465.85
  6. Step 6: Final answer
    x = 7,729.80

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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.