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Finding the Fourth Proportional to 11,970.63, 17,955.54 and 3,205.49

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Solution

The fourth proportional to 11,970.63, 17,955.54 and 3,205.49 is: 4,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.63 : 17,955.54 = 3,205.49 : x
  2. Step 2: Convert to fraction form
    11,970.63/17,955.54 = 3,205.49/x
  3. Step 3: Cross multiply
    11,970.63x = 17,955.54 × 3,205.49
  4. Step 4: Simplify right side
    11,970.63x = 57,556,214.14
  5. Step 5: Solve for x
    x = 57,556,214.14/11,970.63
  6. Step 6: Final answer
    x = 4,808.12

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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.