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Finding the Fourth Proportional to 17,782.96, 24,532.32 and 11,497.36

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Solution

The fourth proportional to 17,782.96, 24,532.32 and 11,497.36 is: 15,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.96 : 24,532.32 = 11,497.36 : x
  2. Step 2: Convert to fraction form
    17,782.96/24,532.32 = 11,497.36/x
  3. Step 3: Cross multiply
    17,782.96x = 24,532.32 × 11,497.36
  4. Step 4: Simplify right side
    17,782.96x = 282,056,914.68
  5. Step 5: Solve for x
    x = 282,056,914.68/17,782.96
  6. Step 6: Final answer
    x = 15,861.08

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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.