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Finding the Fourth Proportional to 23,074.56, 34,616.48 and 8,284.64

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Solution

The fourth proportional to 23,074.56, 34,616.48 and 8,284.64 is: 12,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.56 : 34,616.48 = 8,284.64 : x
  2. Step 2: Convert to fraction form
    23,074.56/34,616.48 = 8,284.64/x
  3. Step 3: Cross multiply
    23,074.56x = 34,616.48 × 8,284.64
  4. Step 4: Simplify right side
    23,074.56x = 286,784,860.36
  5. Step 5: Solve for x
    x = 286,784,860.36/23,074.56
  6. Step 6: Final answer
    x = 12,428.62

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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.