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Finding the Fourth Proportional to 13,661.84, 18,865.68 and 8,634.98

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Solution

The fourth proportional to 13,661.84, 18,865.68 and 8,634.98 is: 11,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.84 : 18,865.68 = 8,634.98 : x
  2. Step 2: Convert to fraction form
    13,661.84/18,865.68 = 8,634.98/x
  3. Step 3: Cross multiply
    13,661.84x = 18,865.68 × 8,634.98
  4. Step 4: Simplify right side
    13,661.84x = 162,904,769.49
  5. Step 5: Solve for x
    x = 162,904,769.49/13,661.84
  6. Step 6: Final answer
    x = 11,924.07

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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.