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Finding the Fourth Proportional to 17,533.08, 24,200.16 and 10,824.12

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Solution

The fourth proportional to 17,533.08, 24,200.16 and 10,824.12 is: 14,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.08 : 24,200.16 = 10,824.12 : x
  2. Step 2: Convert to fraction form
    17,533.08/24,200.16 = 10,824.12/x
  3. Step 3: Cross multiply
    17,533.08x = 24,200.16 × 10,824.12
  4. Step 4: Simplify right side
    17,533.08x = 261,945,435.86
  5. Step 5: Solve for x
    x = 261,945,435.86/17,533.08
  6. Step 6: Final answer
    x = 14,940.07

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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.