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Finding the Fourth Proportional to 25,874.23, 38,811.30 and 7,154.22

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Solution

The fourth proportional to 25,874.23, 38,811.30 and 7,154.22 is: 10,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.23 : 38,811.30 = 7,154.22 : x
  2. Step 2: Convert to fraction form
    25,874.23/38,811.30 = 7,154.22/x
  3. Step 3: Cross multiply
    25,874.23x = 38,811.30 × 7,154.22
  4. Step 4: Simplify right side
    25,874.23x = 277,664,578.69
  5. Step 5: Solve for x
    x = 277,664,578.69/25,874.23
  6. Step 6: Final answer
    x = 10,731.32

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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.