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Finding the Fourth Proportional to 14,509.57, 21,765.92 and 6,190.47

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Solution

The fourth proportional to 14,509.57, 21,765.92 and 6,190.47 is: 9,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.57 : 21,765.92 = 6,190.47 : x
  2. Step 2: Convert to fraction form
    14,509.57/21,765.92 = 6,190.47/x
  3. Step 3: Cross multiply
    14,509.57x = 21,765.92 × 6,190.47
  4. Step 4: Simplify right side
    14,509.57x = 134,741,274.78
  5. Step 5: Solve for x
    x = 134,741,274.78/14,509.57
  6. Step 6: Final answer
    x = 9,286.37

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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.