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Finding the Fourth Proportional to 15,706.98, 23,563.95 and 5,180.25

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Solution

The fourth proportional to 15,706.98, 23,563.95 and 5,180.25 is: 7,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.98 : 23,563.95 = 5,180.25 : x
  2. Step 2: Convert to fraction form
    15,706.98/23,563.95 = 5,180.25/x
  3. Step 3: Cross multiply
    15,706.98x = 23,563.95 × 5,180.25
  4. Step 4: Simplify right side
    15,706.98x = 122,067,220.93
  5. Step 5: Solve for x
    x = 122,067,220.93/15,706.98
  6. Step 6: Final answer
    x = 7,771.53

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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.