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Finding the Fourth Proportional to 24,382.50, 33,649.29 and 13,771.86

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Solution

The fourth proportional to 24,382.50, 33,649.29 and 13,771.86 is: 19,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.50 : 33,649.29 = 13,771.86 : x
  2. Step 2: Convert to fraction form
    24,382.50/33,649.29 = 13,771.86/x
  3. Step 3: Cross multiply
    24,382.50x = 33,649.29 × 13,771.86
  4. Step 4: Simplify right side
    24,382.50x = 463,413,310.98
  5. Step 5: Solve for x
    x = 463,413,310.98/24,382.50
  6. Step 6: Final answer
    x = 19,005.98

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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.