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Finding the Fourth Proportional to 25,198.69, 34,772.17 and 14,589.01

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Solution

The fourth proportional to 25,198.69, 34,772.17 and 14,589.01 is: 20,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.69 : 34,772.17 = 14,589.01 : x
  2. Step 2: Convert to fraction form
    25,198.69/34,772.17 = 14,589.01/x
  3. Step 3: Cross multiply
    25,198.69x = 34,772.17 × 14,589.01
  4. Step 4: Simplify right side
    25,198.69x = 507,291,289.05
  5. Step 5: Solve for x
    x = 507,291,289.05/25,198.69
  6. Step 6: Final answer
    x = 20,131.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.