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Finding the Fourth Proportional to 14,489.37, 21,730.77 and 7,086.42

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Solution

The fourth proportional to 14,489.37, 21,730.77 and 7,086.42 is: 10,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.37 : 21,730.77 = 7,086.42 : x
  2. Step 2: Convert to fraction form
    14,489.37/21,730.77 = 7,086.42/x
  3. Step 3: Cross multiply
    14,489.37x = 21,730.77 × 7,086.42
  4. Step 4: Simplify right side
    14,489.37x = 153,993,363.14
  5. Step 5: Solve for x
    x = 153,993,363.14/14,489.37
  6. Step 6: Final answer
    x = 10,628.02

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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.