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Finding the Fourth Proportional to 17,856, 24,607.31 and 13,077.41

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Solution

The fourth proportional to 17,856, 24,607.31 and 13,077.41 is: 18,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 24,607.31 = 13,077.41 : x
  2. Step 2: Convert to fraction form
    17,856/24,607.31 = 13,077.41/x
  3. Step 3: Cross multiply
    17,856x = 24,607.31 × 13,077.41
  4. Step 4: Simplify right side
    17,856x = 321,799,693.44
  5. Step 5: Solve for x
    x = 321,799,693.44/17,856
  6. Step 6: Final answer
    x = 18,021.94

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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.