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Finding the Fourth Proportional to 27,289.25, 40,946.84 and 8,821.25

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Solution

The fourth proportional to 27,289.25, 40,946.84 and 8,821.25 is: 13,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,289.25 : 40,946.84 = 8,821.25 : x
  2. Step 2: Convert to fraction form
    27,289.25/40,946.84 = 8,821.25/x
  3. Step 3: Cross multiply
    27,289.25x = 40,946.84 × 8,821.25
  4. Step 4: Simplify right side
    27,289.25x = 361,202,268.24
  5. Step 5: Solve for x
    x = 361,202,268.24/27,289.25
  6. Step 6: Final answer
    x = 13,236.06

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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.