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Finding the Fourth Proportional to 16,485.75, 22,744.37 and 10,023.17

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Solution

The fourth proportional to 16,485.75, 22,744.37 and 10,023.17 is: 13,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.75 : 22,744.37 = 10,023.17 : x
  2. Step 2: Convert to fraction form
    16,485.75/22,744.37 = 10,023.17/x
  3. Step 3: Cross multiply
    16,485.75x = 22,744.37 × 10,023.17
  4. Step 4: Simplify right side
    16,485.75x = 227,970,523.22
  5. Step 5: Solve for x
    x = 227,970,523.22/16,485.75
  6. Step 6: Final answer
    x = 13,828.34

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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.