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Finding the Fourth Proportional to 13,660.94, 18,852.15 and 7,692.86

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Solution

The fourth proportional to 13,660.94, 18,852.15 and 7,692.86 is: 10,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.94 : 18,852.15 = 7,692.86 : x
  2. Step 2: Convert to fraction form
    13,660.94/18,852.15 = 7,692.86/x
  3. Step 3: Cross multiply
    13,660.94x = 18,852.15 × 7,692.86
  4. Step 4: Simplify right side
    13,660.94x = 145,026,950.65
  5. Step 5: Solve for x
    x = 145,026,950.65/13,660.94
  6. Step 6: Final answer
    x = 10,616.18

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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.