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Finding the Fourth Proportional to 14,023.30, 21,038.02 and 4,162

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Solution

The fourth proportional to 14,023.30, 21,038.02 and 4,162 is: 6,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.30 : 21,038.02 = 4,162 : x
  2. Step 2: Convert to fraction form
    14,023.30/21,038.02 = 4,162/x
  3. Step 3: Cross multiply
    14,023.30x = 21,038.02 × 4,162
  4. Step 4: Simplify right side
    14,023.30x = 87,560,239.24
  5. Step 5: Solve for x
    x = 87,560,239.24/14,023.30
  6. Step 6: Final answer
    x = 6,243.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.