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Finding the Fourth Proportional to 25,181.80, 34,750.74 and 13,852

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Solution

The fourth proportional to 25,181.80, 34,750.74 and 13,852 is: 19,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,181.80 : 34,750.74 = 13,852 : x
  2. Step 2: Convert to fraction form
    25,181.80/34,750.74 = 13,852/x
  3. Step 3: Cross multiply
    25,181.80x = 34,750.74 × 13,852
  4. Step 4: Simplify right side
    25,181.80x = 481,367,250.48
  5. Step 5: Solve for x
    x = 481,367,250.48/25,181.80
  6. Step 6: Final answer
    x = 19,115.68

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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.