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Finding the Fourth Proportional to 12,015, 18,021.60 and 4,223.88

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Solution

The fourth proportional to 12,015, 18,021.60 and 4,223.88 is: 6,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015 : 18,021.60 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    12,015/18,021.60 = 4,223.88/x
  3. Step 3: Cross multiply
    12,015x = 18,021.60 × 4,223.88
  4. Step 4: Simplify right side
    12,015x = 76,121,075.81
  5. Step 5: Solve for x
    x = 76,121,075.81/12,015
  6. Step 6: Final answer
    x = 6,335.50

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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.