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Finding the Fourth Proportional to 14,438.32, 21,644.83 and 6,938.14

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Solution

The fourth proportional to 14,438.32, 21,644.83 and 6,938.14 is: 10,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.32 : 21,644.83 = 6,938.14 : x
  2. Step 2: Convert to fraction form
    14,438.32/21,644.83 = 6,938.14/x
  3. Step 3: Cross multiply
    14,438.32x = 21,644.83 × 6,938.14
  4. Step 4: Simplify right side
    14,438.32x = 150,174,913.13
  5. Step 5: Solve for x
    x = 150,174,913.13/14,438.32
  6. Step 6: Final answer
    x = 10,401.14

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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.