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Finding the Fourth Proportional to 23,870.25, 35,805.38 and 7,454.25

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Solution

The fourth proportional to 23,870.25, 35,805.38 and 7,454.25 is: 11,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.25 : 35,805.38 = 7,454.25 : x
  2. Step 2: Convert to fraction form
    23,870.25/35,805.38 = 7,454.25/x
  3. Step 3: Cross multiply
    23,870.25x = 35,805.38 × 7,454.25
  4. Step 4: Simplify right side
    23,870.25x = 266,902,216.59
  5. Step 5: Solve for x
    x = 266,902,216.59/23,870.25
  6. Step 6: Final answer
    x = 11,181.38

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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.