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Finding the Fourth Proportional to 23,047.60, 34,571.40 and 7,466.80

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Solution

The fourth proportional to 23,047.60, 34,571.40 and 7,466.80 is: 11,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.60 : 34,571.40 = 7,466.80 : x
  2. Step 2: Convert to fraction form
    23,047.60/34,571.40 = 7,466.80/x
  3. Step 3: Cross multiply
    23,047.60x = 34,571.40 × 7,466.80
  4. Step 4: Simplify right side
    23,047.60x = 258,137,729.52
  5. Step 5: Solve for x
    x = 258,137,729.52/23,047.60
  6. Step 6: Final answer
    x = 11,200.20

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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.