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Finding the Fourth Proportional to 18,039.74, 24,894.41 and 10,083.50

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Solution

The fourth proportional to 18,039.74, 24,894.41 and 10,083.50 is: 13,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,039.74 : 24,894.41 = 10,083.50 : x
  2. Step 2: Convert to fraction form
    18,039.74/24,894.41 = 10,083.50/x
  3. Step 3: Cross multiply
    18,039.74x = 24,894.41 × 10,083.50
  4. Step 4: Simplify right side
    18,039.74x = 251,022,783.24
  5. Step 5: Solve for x
    x = 251,022,783.24/18,039.74
  6. Step 6: Final answer
    x = 13,914.99

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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.