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Finding the Fourth Proportional to 27,873.21, 41,810.18 and 8,152.14

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Solution

The fourth proportional to 27,873.21, 41,810.18 and 8,152.14 is: 12,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.21 : 41,810.18 = 8,152.14 : x
  2. Step 2: Convert to fraction form
    27,873.21/41,810.18 = 8,152.14/x
  3. Step 3: Cross multiply
    27,873.21x = 41,810.18 × 8,152.14
  4. Step 4: Simplify right side
    27,873.21x = 340,842,556.81
  5. Step 5: Solve for x
    x = 340,842,556.81/27,873.21
  6. Step 6: Final answer
    x = 12,228.32

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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.