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Finding the Fourth Proportional to 23,245.14, 34,856.82 and 8,443.74

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Solution

The fourth proportional to 23,245.14, 34,856.82 and 8,443.74 is: 12,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.14 : 34,856.82 = 8,443.74 : x
  2. Step 2: Convert to fraction form
    23,245.14/34,856.82 = 8,443.74/x
  3. Step 3: Cross multiply
    23,245.14x = 34,856.82 × 8,443.74
  4. Step 4: Simplify right side
    23,245.14x = 294,321,925.31
  5. Step 5: Solve for x
    x = 294,321,925.31/23,245.14
  6. Step 6: Final answer
    x = 12,661.65

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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.