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Finding the Fourth Proportional to 11,804.75, 17,731.73 and 9,959.48

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Solution

The fourth proportional to 11,804.75, 17,731.73 and 9,959.48 is: 14,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.75 : 17,731.73 = 9,959.48 : x
  2. Step 2: Convert to fraction form
    11,804.75/17,731.73 = 9,959.48/x
  3. Step 3: Cross multiply
    11,804.75x = 17,731.73 × 9,959.48
  4. Step 4: Simplify right side
    11,804.75x = 176,598,810.30
  5. Step 5: Solve for x
    x = 176,598,810.30/11,804.75
  6. Step 6: Final answer
    x = 14,959.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.