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Finding the Fourth Proportional to 25,670.44, 38,495.68 and 7,895.80

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Solution

The fourth proportional to 25,670.44, 38,495.68 and 7,895.80 is: 11,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.44 : 38,495.68 = 7,895.80 : x
  2. Step 2: Convert to fraction form
    25,670.44/38,495.68 = 7,895.80/x
  3. Step 3: Cross multiply
    25,670.44x = 38,495.68 × 7,895.80
  4. Step 4: Simplify right side
    25,670.44x = 303,954,190.14
  5. Step 5: Solve for x
    x = 303,954,190.14/25,670.44
  6. Step 6: Final answer
    x = 11,840.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.