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Finding the Fourth Proportional to 25,346.25, 38,019.44 and 6,878.25

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Solution

The fourth proportional to 25,346.25, 38,019.44 and 6,878.25 is: 10,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346.25 : 38,019.44 = 6,878.25 : x
  2. Step 2: Convert to fraction form
    25,346.25/38,019.44 = 6,878.25/x
  3. Step 3: Cross multiply
    25,346.25x = 38,019.44 × 6,878.25
  4. Step 4: Simplify right side
    25,346.25x = 261,507,230.38
  5. Step 5: Solve for x
    x = 261,507,230.38/25,346.25
  6. Step 6: Final answer
    x = 10,317.39

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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.