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Finding the Fourth Proportional to 14,286.42, 21,436.92 and 6,494.22

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Solution

The fourth proportional to 14,286.42, 21,436.92 and 6,494.22 is: 9,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.42 : 21,436.92 = 6,494.22 : x
  2. Step 2: Convert to fraction form
    14,286.42/21,436.92 = 6,494.22/x
  3. Step 3: Cross multiply
    14,286.42x = 21,436.92 × 6,494.22
  4. Step 4: Simplify right side
    14,286.42x = 139,216,074.60
  5. Step 5: Solve for x
    x = 139,216,074.60/14,286.42
  6. Step 6: Final answer
    x = 9,744.64

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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.