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Finding the Fourth Proportional to 15,850.78, 23,776.14 and 4,757.45

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Solution

The fourth proportional to 15,850.78, 23,776.14 and 4,757.45 is: 7,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.78 : 23,776.14 = 4,757.45 : x
  2. Step 2: Convert to fraction form
    15,850.78/23,776.14 = 4,757.45/x
  3. Step 3: Cross multiply
    15,850.78x = 23,776.14 × 4,757.45
  4. Step 4: Simplify right side
    15,850.78x = 113,113,797.24
  5. Step 5: Solve for x
    x = 113,113,797.24/15,850.78
  6. Step 6: Final answer
    x = 7,136.17

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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.