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Finding the Fourth Proportional to 25,833.25, 38,750.24 and 7,365.25

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Solution

The fourth proportional to 25,833.25, 38,750.24 and 7,365.25 is: 11,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.25 : 38,750.24 = 7,365.25 : x
  2. Step 2: Convert to fraction form
    25,833.25/38,750.24 = 7,365.25/x
  3. Step 3: Cross multiply
    25,833.25x = 38,750.24 × 7,365.25
  4. Step 4: Simplify right side
    25,833.25x = 285,405,168.33
  5. Step 5: Solve for x
    x = 285,405,168.33/25,833.25
  6. Step 6: Final answer
    x = 11,047.98

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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.