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Finding the Fourth Proportional to 14,142.42, 21,219.03 and 5,263.20

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Solution

The fourth proportional to 14,142.42, 21,219.03 and 5,263.20 is: 7,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.42 : 21,219.03 = 5,263.20 : x
  2. Step 2: Convert to fraction form
    14,142.42/21,219.03 = 5,263.20/x
  3. Step 3: Cross multiply
    14,142.42x = 21,219.03 × 5,263.20
  4. Step 4: Simplify right side
    14,142.42x = 111,679,998.70
  5. Step 5: Solve for x
    x = 111,679,998.70/14,142.42
  6. Step 6: Final answer
    x = 7,896.81

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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.