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Finding the Fourth Proportional to 14,227.58, 21,343.90 and 4,868.64

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Solution

The fourth proportional to 14,227.58, 21,343.90 and 4,868.64 is: 7,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.58 : 21,343.90 = 4,868.64 : x
  2. Step 2: Convert to fraction form
    14,227.58/21,343.90 = 4,868.64/x
  3. Step 3: Cross multiply
    14,227.58x = 21,343.90 × 4,868.64
  4. Step 4: Simplify right side
    14,227.58x = 103,915,765.30
  5. Step 5: Solve for x
    x = 103,915,765.30/14,227.58
  6. Step 6: Final answer
    x = 7,303.83

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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.