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Finding the Fourth Proportional to 23,152, 34,727.97 and 5,621.80

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Solution

The fourth proportional to 23,152, 34,727.97 and 5,621.80 is: 8,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152 : 34,727.97 = 5,621.80 : x
  2. Step 2: Convert to fraction form
    23,152/34,727.97 = 5,621.80/x
  3. Step 3: Cross multiply
    23,152x = 34,727.97 × 5,621.80
  4. Step 4: Simplify right side
    23,152x = 195,233,701.75
  5. Step 5: Solve for x
    x = 195,233,701.75/23,152
  6. Step 6: Final answer
    x = 8,432.69

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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.