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Finding the Fourth Proportional to 23,776.89, 35,671.25 and 7,137.23

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Solution

The fourth proportional to 23,776.89, 35,671.25 and 7,137.23 is: 10,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.89 : 35,671.25 = 7,137.23 : x
  2. Step 2: Convert to fraction form
    23,776.89/35,671.25 = 7,137.23/x
  3. Step 3: Cross multiply
    23,776.89x = 35,671.25 × 7,137.23
  4. Step 4: Simplify right side
    23,776.89x = 254,593,915.64
  5. Step 5: Solve for x
    x = 254,593,915.64/23,776.89
  6. Step 6: Final answer
    x = 10,707.62

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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.