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Finding the Fourth Proportional to 17,229.28, 23,749.46 and 14,406.00

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Solution

The fourth proportional to 17,229.28, 23,749.46 and 14,406.00 is: 19,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.28 : 23,749.46 = 14,406.00 : x
  2. Step 2: Convert to fraction form
    17,229.28/23,749.46 = 14,406.00/x
  3. Step 3: Cross multiply
    17,229.28x = 23,749.46 × 14,406.00
  4. Step 4: Simplify right side
    17,229.28x = 342,134,602.01
  5. Step 5: Solve for x
    x = 342,134,602.01/17,229.28
  6. Step 6: Final answer
    x = 19,857.75

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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.