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Finding the Fourth Proportional to 14,660.78, 21,986.50 and 4,797.41

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Solution

The fourth proportional to 14,660.78, 21,986.50 and 4,797.41 is: 7,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.78 : 21,986.50 = 4,797.41 : x
  2. Step 2: Convert to fraction form
    14,660.78/21,986.50 = 4,797.41/x
  3. Step 3: Cross multiply
    14,660.78x = 21,986.50 × 4,797.41
  4. Step 4: Simplify right side
    14,660.78x = 105,478,121.05
  5. Step 5: Solve for x
    x = 105,478,121.05/14,660.78
  6. Step 6: Final answer
    x = 7,194.58

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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.