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Finding the Fourth Proportional to 23,477.98, 35,219.02 and 5,947.80

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Solution

The fourth proportional to 23,477.98, 35,219.02 and 5,947.80 is: 8,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.98 : 35,219.02 = 5,947.80 : x
  2. Step 2: Convert to fraction form
    23,477.98/35,219.02 = 5,947.80/x
  3. Step 3: Cross multiply
    23,477.98x = 35,219.02 × 5,947.80
  4. Step 4: Simplify right side
    23,477.98x = 209,475,823.44
  5. Step 5: Solve for x
    x = 209,475,823.44/23,477.98
  6. Step 6: Final answer
    x = 8,922.23

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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.