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Finding the Fourth Proportional to 13,827.37, 19,083.41 and 7,859.94

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Solution

The fourth proportional to 13,827.37, 19,083.41 and 7,859.94 is: 10,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.37 : 19,083.41 = 7,859.94 : x
  2. Step 2: Convert to fraction form
    13,827.37/19,083.41 = 7,859.94/x
  3. Step 3: Cross multiply
    13,827.37x = 19,083.41 × 7,859.94
  4. Step 4: Simplify right side
    13,827.37x = 149,994,460.67
  5. Step 5: Solve for x
    x = 149,994,460.67/13,827.37
  6. Step 6: Final answer
    x = 10,847.65

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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.