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Finding the Fourth Proportional to 23,077.56, 34,620.98 and 8,287.64

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Solution

The fourth proportional to 23,077.56, 34,620.98 and 8,287.64 is: 12,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.56 : 34,620.98 = 8,287.64 : x
  2. Step 2: Convert to fraction form
    23,077.56/34,620.98 = 8,287.64/x
  3. Step 3: Cross multiply
    23,077.56x = 34,620.98 × 8,287.64
  4. Step 4: Simplify right side
    23,077.56x = 286,926,218.69
  5. Step 5: Solve for x
    x = 286,926,218.69/23,077.56
  6. Step 6: Final answer
    x = 12,433.13

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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.