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Finding the Fourth Proportional to 17,675.16, 24,398.01 and 11,708.75

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Solution

The fourth proportional to 17,675.16, 24,398.01 and 11,708.75 is: 16,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.16 : 24,398.01 = 11,708.75 : x
  2. Step 2: Convert to fraction form
    17,675.16/24,398.01 = 11,708.75/x
  3. Step 3: Cross multiply
    17,675.16x = 24,398.01 × 11,708.75
  4. Step 4: Simplify right side
    17,675.16x = 285,670,260.58
  5. Step 5: Solve for x
    x = 285,670,260.58/17,675.16
  6. Step 6: Final answer
    x = 16,162.24

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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.