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Finding the Fourth Proportional to 13,646.85, 20,470.47 and 4,286.49

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Solution

The fourth proportional to 13,646.85, 20,470.47 and 4,286.49 is: 6,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.85 : 20,470.47 = 4,286.49 : x
  2. Step 2: Convert to fraction form
    13,646.85/20,470.47 = 4,286.49/x
  3. Step 3: Cross multiply
    13,646.85x = 20,470.47 × 4,286.49
  4. Step 4: Simplify right side
    13,646.85x = 87,746,464.95
  5. Step 5: Solve for x
    x = 87,746,464.95/13,646.85
  6. Step 6: Final answer
    x = 6,429.80

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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.