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Finding the Fourth Proportional to 16,074.78, 24,107.50 and 4,829.66

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Solution

The fourth proportional to 16,074.78, 24,107.50 and 4,829.66 is: 7,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.78 : 24,107.50 = 4,829.66 : x
  2. Step 2: Convert to fraction form
    16,074.78/24,107.50 = 4,829.66/x
  3. Step 3: Cross multiply
    16,074.78x = 24,107.50 × 4,829.66
  4. Step 4: Simplify right side
    16,074.78x = 116,431,028.45
  5. Step 5: Solve for x
    x = 116,431,028.45/16,074.78
  6. Step 6: Final answer
    x = 7,243.09

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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.