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Finding the Fourth Proportional to 23,157.54, 34,532.88 and 22,947

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Solution

The fourth proportional to 23,157.54, 34,532.88 and 22,947 is: 34,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.54 : 34,532.88 = 22,947 : x
  2. Step 2: Convert to fraction form
    23,157.54/34,532.88 = 22,947/x
  3. Step 3: Cross multiply
    23,157.54x = 34,532.88 × 22,947
  4. Step 4: Simplify right side
    23,157.54x = 792,425,997.36
  5. Step 5: Solve for x
    x = 792,425,997.36/23,157.54
  6. Step 6: Final answer
    x = 34,218.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.