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Finding the Fourth Proportional to 17,533.50, 24,196.23 and 10,081.50

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Solution

The fourth proportional to 17,533.50, 24,196.23 and 10,081.50 is: 13,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.50 : 24,196.23 = 10,081.50 : x
  2. Step 2: Convert to fraction form
    17,533.50/24,196.23 = 10,081.50/x
  3. Step 3: Cross multiply
    17,533.50x = 24,196.23 × 10,081.50
  4. Step 4: Simplify right side
    17,533.50x = 243,934,292.75
  5. Step 5: Solve for x
    x = 243,934,292.75/17,533.50
  6. Step 6: Final answer
    x = 13,912.47

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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.