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Finding the Fourth Proportional to 27,783.64, 41,684.24 and 10,002.12

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Solution

The fourth proportional to 27,783.64, 41,684.24 and 10,002.12 is: 15,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.64 : 41,684.24 = 10,002.12 : x
  2. Step 2: Convert to fraction form
    27,783.64/41,684.24 = 10,002.12/x
  3. Step 3: Cross multiply
    27,783.64x = 41,684.24 × 10,002.12
  4. Step 4: Simplify right side
    27,783.64x = 416,930,770.59
  5. Step 5: Solve for x
    x = 416,930,770.59/27,783.64
  6. Step 6: Final answer
    x = 15,006.34

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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.