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Finding the Fourth Proportional to 25,669.44, 38,494.18 and 7,894.80

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Solution

The fourth proportional to 25,669.44, 38,494.18 and 7,894.80 is: 11,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.44 : 38,494.18 = 7,894.80 : x
  2. Step 2: Convert to fraction form
    25,669.44/38,494.18 = 7,894.80/x
  3. Step 3: Cross multiply
    25,669.44x = 38,494.18 × 7,894.80
  4. Step 4: Simplify right side
    25,669.44x = 303,903,852.26
  5. Step 5: Solve for x
    x = 303,903,852.26/25,669.44
  6. Step 6: Final answer
    x = 11,839.13

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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.