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Finding the Fourth Proportional to 25,870.92, 38,631 and 20,546.16

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Solution

The fourth proportional to 25,870.92, 38,631 and 20,546.16 is: 30,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.92 : 38,631 = 20,546.16 : x
  2. Step 2: Convert to fraction form
    25,870.92/38,631 = 20,546.16/x
  3. Step 3: Cross multiply
    25,870.92x = 38,631 × 20,546.16
  4. Step 4: Simplify right side
    25,870.92x = 793,718,706.96
  5. Step 5: Solve for x
    x = 793,718,706.96/25,870.92
  6. Step 6: Final answer
    x = 30,679.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.