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Finding the Fourth Proportional to 11,242.80, 16,864.20 and 9,857.70

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Solution

The fourth proportional to 11,242.80, 16,864.20 and 9,857.70 is: 14,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.80 : 16,864.20 = 9,857.70 : x
  2. Step 2: Convert to fraction form
    11,242.80/16,864.20 = 9,857.70/x
  3. Step 3: Cross multiply
    11,242.80x = 16,864.20 × 9,857.70
  4. Step 4: Simplify right side
    11,242.80x = 166,242,224.34
  5. Step 5: Solve for x
    x = 166,242,224.34/11,242.80
  6. Step 6: Final answer
    x = 14,786.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.