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Finding the Fourth Proportional to 14,010.41, 21,010.14 and 6,213.75

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Solution

The fourth proportional to 14,010.41, 21,010.14 and 6,213.75 is: 9,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.41 : 21,010.14 = 6,213.75 : x
  2. Step 2: Convert to fraction form
    14,010.41/21,010.14 = 6,213.75/x
  3. Step 3: Cross multiply
    14,010.41x = 21,010.14 × 6,213.75
  4. Step 4: Simplify right side
    14,010.41x = 130,551,757.43
  5. Step 5: Solve for x
    x = 130,551,757.43/14,010.41
  6. Step 6: Final answer
    x = 9,318.20

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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.