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Finding the Fourth Proportional to 11,859.40, 16,352.58 and 10,096.84

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Solution

The fourth proportional to 11,859.40, 16,352.58 and 10,096.84 is: 13,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.40 : 16,352.58 = 10,096.84 : x
  2. Step 2: Convert to fraction form
    11,859.40/16,352.58 = 10,096.84/x
  3. Step 3: Cross multiply
    11,859.40x = 16,352.58 × 10,096.84
  4. Step 4: Simplify right side
    11,859.40x = 165,109,383.85
  5. Step 5: Solve for x
    x = 165,109,383.85/11,859.40
  6. Step 6: Final answer
    x = 13,922.24

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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.