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Finding the Fourth Proportional to 11,980.57, 17,970.85 and 3,215.49

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Solution

The fourth proportional to 11,980.57, 17,970.85 and 3,215.49 is: 4,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.57 : 17,970.85 = 3,215.49 : x
  2. Step 2: Convert to fraction form
    11,980.57/17,970.85 = 3,215.49/x
  3. Step 3: Cross multiply
    11,980.57x = 17,970.85 × 3,215.49
  4. Step 4: Simplify right side
    11,980.57x = 57,785,022.63
  5. Step 5: Solve for x
    x = 57,785,022.63/11,980.57
  6. Step 6: Final answer
    x = 4,823.23

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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.