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Finding the Fourth Proportional to 14,206.28, 21,313.84 and 5,890.20

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Solution

The fourth proportional to 14,206.28, 21,313.84 and 5,890.20 is: 8,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.28 : 21,313.84 = 5,890.20 : x
  2. Step 2: Convert to fraction form
    14,206.28/21,313.84 = 5,890.20/x
  3. Step 3: Cross multiply
    14,206.28x = 21,313.84 × 5,890.20
  4. Step 4: Simplify right side
    14,206.28x = 125,542,780.37
  5. Step 5: Solve for x
    x = 125,542,780.37/14,206.28
  6. Step 6: Final answer
    x = 8,837.13

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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.