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Finding the Fourth Proportional to 13,986.66, 19,295.47 and 9,200.46

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Solution

The fourth proportional to 13,986.66, 19,295.47 and 9,200.46 is: 12,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.66 : 19,295.47 = 9,200.46 : x
  2. Step 2: Convert to fraction form
    13,986.66/19,295.47 = 9,200.46/x
  3. Step 3: Cross multiply
    13,986.66x = 19,295.47 × 9,200.46
  4. Step 4: Simplify right side
    13,986.66x = 177,527,199.92
  5. Step 5: Solve for x
    x = 177,527,199.92/13,986.66
  6. Step 6: Final answer
    x = 12,692.61

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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.