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Finding the Fourth Proportional to 11,970.32, 17,959.14 and 6,131.06

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Solution

The fourth proportional to 11,970.32, 17,959.14 and 6,131.06 is: 9,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.32 : 17,959.14 = 6,131.06 : x
  2. Step 2: Convert to fraction form
    11,970.32/17,959.14 = 6,131.06/x
  3. Step 3: Cross multiply
    11,970.32x = 17,959.14 × 6,131.06
  4. Step 4: Simplify right side
    11,970.32x = 110,108,564.89
  5. Step 5: Solve for x
    x = 110,108,564.89/11,970.32
  6. Step 6: Final answer
    x = 9,198.46

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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.