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Finding the Fourth Proportional to 23,094.64, 34,626.57 and 8,301.63

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Solution

The fourth proportional to 23,094.64, 34,626.57 and 8,301.63 is: 12,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.64 : 34,626.57 = 8,301.63 : x
  2. Step 2: Convert to fraction form
    23,094.64/34,626.57 = 8,301.63/x
  3. Step 3: Cross multiply
    23,094.64x = 34,626.57 × 8,301.63
  4. Step 4: Simplify right side
    23,094.64x = 287,456,972.31
  5. Step 5: Solve for x
    x = 287,456,972.31/23,094.64
  6. Step 6: Final answer
    x = 12,446.92

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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.