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Finding the Fourth Proportional to 23,762.13, 32,786.16 and 16,224.17

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Solution

The fourth proportional to 23,762.13, 32,786.16 and 16,224.17 is: 22,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.13 : 32,786.16 = 16,224.17 : x
  2. Step 2: Convert to fraction form
    23,762.13/32,786.16 = 16,224.17/x
  3. Step 3: Cross multiply
    23,762.13x = 32,786.16 × 16,224.17
  4. Step 4: Simplify right side
    23,762.13x = 531,928,069.56
  5. Step 5: Solve for x
    x = 531,928,069.56/23,762.13
  6. Step 6: Final answer
    x = 22,385.54

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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.