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Finding the Fourth Proportional to 27,762.14, 38,287.08 and 20,226.11

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Solution

The fourth proportional to 27,762.14, 38,287.08 and 20,226.11 is: 27,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.14 : 38,287.08 = 20,226.11 : x
  2. Step 2: Convert to fraction form
    27,762.14/38,287.08 = 20,226.11/x
  3. Step 3: Cross multiply
    27,762.14x = 38,287.08 × 20,226.11
  4. Step 4: Simplify right side
    27,762.14x = 774,398,500.22
  5. Step 5: Solve for x
    x = 774,398,500.22/27,762.14
  6. Step 6: Final answer
    x = 27,894.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.