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Finding the Fourth Proportional to 14,563.29, 20,097.62 and 8,189.71

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Solution

The fourth proportional to 14,563.29, 20,097.62 and 8,189.71 is: 11,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.29 : 20,097.62 = 8,189.71 : x
  2. Step 2: Convert to fraction form
    14,563.29/20,097.62 = 8,189.71/x
  3. Step 3: Cross multiply
    14,563.29x = 20,097.62 × 8,189.71
  4. Step 4: Simplify right side
    14,563.29x = 164,593,619.01
  5. Step 5: Solve for x
    x = 164,593,619.01/14,563.29
  6. Step 6: Final answer
    x = 11,301.95

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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.