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Finding the Fourth Proportional to 14,697.94, 20,288.97 and 10,224.29

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Solution

The fourth proportional to 14,697.94, 20,288.97 and 10,224.29 is: 14,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.94 : 20,288.97 = 10,224.29 : x
  2. Step 2: Convert to fraction form
    14,697.94/20,288.97 = 10,224.29/x
  3. Step 3: Cross multiply
    14,697.94x = 20,288.97 × 10,224.29
  4. Step 4: Simplify right side
    14,697.94x = 207,440,313.08
  5. Step 5: Solve for x
    x = 207,440,313.08/14,697.94
  6. Step 6: Final answer
    x = 14,113.56

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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.