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Finding the Fourth Proportional to 15,471.94, 23,208.04 and 5,611

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Solution

The fourth proportional to 15,471.94, 23,208.04 and 5,611 is: 8,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.94 : 23,208.04 = 5,611 : x
  2. Step 2: Convert to fraction form
    15,471.94/23,208.04 = 5,611/x
  3. Step 3: Cross multiply
    15,471.94x = 23,208.04 × 5,611
  4. Step 4: Simplify right side
    15,471.94x = 130,220,312.44
  5. Step 5: Solve for x
    x = 130,220,312.44/15,471.94
  6. Step 6: Final answer
    x = 8,416.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.