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Finding the Fourth Proportional to 24,561.41, 33,893.26 and 14,493

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Solution

The fourth proportional to 24,561.41, 33,893.26 and 14,493 is: 19,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.41 : 33,893.26 = 14,493 : x
  2. Step 2: Convert to fraction form
    24,561.41/33,893.26 = 14,493/x
  3. Step 3: Cross multiply
    24,561.41x = 33,893.26 × 14,493
  4. Step 4: Simplify right side
    24,561.41x = 491,214,980.95
  5. Step 5: Solve for x
    x = 491,214,980.95/24,561.41
  6. Step 6: Final answer
    x = 19,999.47

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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.