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Finding the Fourth Proportional to 25,574.54, 38,362.22 and 7,805.57

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Solution

The fourth proportional to 25,574.54, 38,362.22 and 7,805.57 is: 11,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.54 : 38,362.22 = 7,805.57 : x
  2. Step 2: Convert to fraction form
    25,574.54/38,362.22 = 7,805.57/x
  3. Step 3: Cross multiply
    25,574.54x = 38,362.22 × 7,805.57
  4. Step 4: Simplify right side
    25,574.54x = 299,438,993.57
  5. Step 5: Solve for x
    x = 299,438,993.57/25,574.54
  6. Step 6: Final answer
    x = 11,708.48

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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.