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Finding the Fourth Proportional to 14,224.68, 21,334.59 and 3,834

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Solution

The fourth proportional to 14,224.68, 21,334.59 and 3,834 is: 5,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.68 : 21,334.59 = 3,834 : x
  2. Step 2: Convert to fraction form
    14,224.68/21,334.59 = 3,834/x
  3. Step 3: Cross multiply
    14,224.68x = 21,334.59 × 3,834
  4. Step 4: Simplify right side
    14,224.68x = 81,796,818.06
  5. Step 5: Solve for x
    x = 81,796,818.06/14,224.68
  6. Step 6: Final answer
    x = 5,750.35

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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.