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Finding the Fourth Proportional to 25,163.79, 34,725.99 and 13,834

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Solution

The fourth proportional to 25,163.79, 34,725.99 and 13,834 is: 19,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163.79 : 34,725.99 = 13,834 : x
  2. Step 2: Convert to fraction form
    25,163.79/34,725.99 = 13,834/x
  3. Step 3: Cross multiply
    25,163.79x = 34,725.99 × 13,834
  4. Step 4: Simplify right side
    25,163.79x = 480,399,345.66
  5. Step 5: Solve for x
    x = 480,399,345.66/25,163.79
  6. Step 6: Final answer
    x = 19,090.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.