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Finding the Fourth Proportional to 23,314.76, 34,942.89 and 9,972.09

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Solution

The fourth proportional to 23,314.76, 34,942.89 and 9,972.09 is: 14,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.76 : 34,942.89 = 9,972.09 : x
  2. Step 2: Convert to fraction form
    23,314.76/34,942.89 = 9,972.09/x
  3. Step 3: Cross multiply
    23,314.76x = 34,942.89 × 9,972.09
  4. Step 4: Simplify right side
    23,314.76x = 348,453,594.08
  5. Step 5: Solve for x
    x = 348,453,594.08/23,314.76
  6. Step 6: Final answer
    x = 14,945.63

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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.