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Finding the Fourth Proportional to 14,431.54, 21,651.14 and 4,571.02

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Solution

The fourth proportional to 14,431.54, 21,651.14 and 4,571.02 is: 6,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.54 : 21,651.14 = 4,571.02 : x
  2. Step 2: Convert to fraction form
    14,431.54/21,651.14 = 4,571.02/x
  3. Step 3: Cross multiply
    14,431.54x = 21,651.14 × 4,571.02
  4. Step 4: Simplify right side
    14,431.54x = 98,967,793.96
  5. Step 5: Solve for x
    x = 98,967,793.96/14,431.54
  6. Step 6: Final answer
    x = 6,857.74

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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.