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Finding the Fourth Proportional to 14,226.42, 21,350.14 and 6,835.16

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Solution

The fourth proportional to 14,226.42, 21,350.14 and 6,835.16 is: 10,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.42 : 21,350.14 = 6,835.16 : x
  2. Step 2: Convert to fraction form
    14,226.42/21,350.14 = 6,835.16/x
  3. Step 3: Cross multiply
    14,226.42x = 21,350.14 × 6,835.16
  4. Step 4: Simplify right side
    14,226.42x = 145,931,622.92
  5. Step 5: Solve for x
    x = 145,931,622.92/14,226.42
  6. Step 6: Final answer
    x = 10,257.79

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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.