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Finding the Fourth Proportional to 17,653.50, 24,361.86 and 10,201.50

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Solution

The fourth proportional to 17,653.50, 24,361.86 and 10,201.50 is: 14,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.50 : 24,361.86 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    17,653.50/24,361.86 = 10,201.50/x
  3. Step 3: Cross multiply
    17,653.50x = 24,361.86 × 10,201.50
  4. Step 4: Simplify right side
    17,653.50x = 248,527,514.79
  5. Step 5: Solve for x
    x = 248,527,514.79/17,653.50
  6. Step 6: Final answer
    x = 14,078.09

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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.