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Finding the Fourth Proportional to 15,969.36, 23,959.50 and 6,111.46

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Solution

The fourth proportional to 15,969.36, 23,959.50 and 6,111.46 is: 9,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.36 : 23,959.50 = 6,111.46 : x
  2. Step 2: Convert to fraction form
    15,969.36/23,959.50 = 6,111.46/x
  3. Step 3: Cross multiply
    15,969.36x = 23,959.50 × 6,111.46
  4. Step 4: Simplify right side
    15,969.36x = 146,427,375.52
  5. Step 5: Solve for x
    x = 146,427,375.52/15,969.36
  6. Step 6: Final answer
    x = 9,169.27

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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.