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Finding the Fourth Proportional to 21,174.76, 31,762.41 and 8,023.60

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Solution

The fourth proportional to 21,174.76, 31,762.41 and 8,023.60 is: 12,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.76 : 31,762.41 = 8,023.60 : x
  2. Step 2: Convert to fraction form
    21,174.76/31,762.41 = 8,023.60/x
  3. Step 3: Cross multiply
    21,174.76x = 31,762.41 × 8,023.60
  4. Step 4: Simplify right side
    21,174.76x = 254,848,872.88
  5. Step 5: Solve for x
    x = 254,848,872.88/21,174.76
  6. Step 6: Final answer
    x = 12,035.50

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1.5x scale

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.