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Finding the Fourth Proportional to 25,546.41, 38,319.63 and 7,078.41

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Solution

The fourth proportional to 25,546.41, 38,319.63 and 7,078.41 is: 10,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546.41 : 38,319.63 = 7,078.41 : x
  2. Step 2: Convert to fraction form
    25,546.41/38,319.63 = 7,078.41/x
  3. Step 3: Cross multiply
    25,546.41x = 38,319.63 × 7,078.41
  4. Step 4: Simplify right side
    25,546.41x = 271,242,052.19
  5. Step 5: Solve for x
    x = 271,242,052.19/25,546.41
  6. Step 6: Final answer
    x = 10,617.62

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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.