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Finding the Fourth Proportional to 27,762.21, 38,311.73 and 15,015.41

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Solution

The fourth proportional to 27,762.21, 38,311.73 and 15,015.41 is: 20,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.21 : 38,311.73 = 15,015.41 : x
  2. Step 2: Convert to fraction form
    27,762.21/38,311.73 = 15,015.41/x
  3. Step 3: Cross multiply
    27,762.21x = 38,311.73 × 15,015.41
  4. Step 4: Simplify right side
    27,762.21x = 575,266,270.75
  5. Step 5: Solve for x
    x = 575,266,270.75/27,762.21
  6. Step 6: Final answer
    x = 20,721.20

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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.