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Finding the Fourth Proportional to 25,901, 38,852.34 and 7,181.24

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Solution

The fourth proportional to 25,901, 38,852.34 and 7,181.24 is: 10,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901 : 38,852.34 = 7,181.24 : x
  2. Step 2: Convert to fraction form
    25,901/38,852.34 = 7,181.24/x
  3. Step 3: Cross multiply
    25,901x = 38,852.34 × 7,181.24
  4. Step 4: Simplify right side
    25,901x = 279,007,978.10
  5. Step 5: Solve for x
    x = 279,007,978.10/25,901
  6. Step 6: Final answer
    x = 10,772.09

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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.