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Finding the Fourth Proportional to 25,144, 34,699.80 and 13,966

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Solution

The fourth proportional to 25,144, 34,699.80 and 13,966 is: 19,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144 : 34,699.80 = 13,966 : x
  2. Step 2: Convert to fraction form
    25,144/34,699.80 = 13,966/x
  3. Step 3: Cross multiply
    25,144x = 34,699.80 × 13,966
  4. Step 4: Simplify right side
    25,144x = 484,617,406.80
  5. Step 5: Solve for x
    x = 484,617,406.80/25,144
  6. Step 6: Final answer
    x = 19,273.68

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Why These Related Problems?

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