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Finding the Fourth Proportional to 27,804.66, 41,696.52 and 9,080.28

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Solution

The fourth proportional to 27,804.66, 41,696.52 and 9,080.28 is: 13,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.66 : 41,696.52 = 9,080.28 : x
  2. Step 2: Convert to fraction form
    27,804.66/41,696.52 = 9,080.28/x
  3. Step 3: Cross multiply
    27,804.66x = 41,696.52 × 9,080.28
  4. Step 4: Simplify right side
    27,804.66x = 378,616,076.63
  5. Step 5: Solve for x
    x = 378,616,076.63/27,804.66
  6. Step 6: Final answer
    x = 13,617.00

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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.