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Finding the Fourth Proportional to 25,378.88, 38,071.97 and 7,850.07

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Solution

The fourth proportional to 25,378.88, 38,071.97 and 7,850.07 is: 11,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.88 : 38,071.97 = 7,850.07 : x
  2. Step 2: Convert to fraction form
    25,378.88/38,071.97 = 7,850.07/x
  3. Step 3: Cross multiply
    25,378.88x = 38,071.97 × 7,850.07
  4. Step 4: Simplify right side
    25,378.88x = 298,867,590.29
  5. Step 5: Solve for x
    x = 298,867,590.29/25,378.88
  6. Step 6: Final answer
    x = 11,776.23

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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.