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Finding the Fourth Proportional to 14,601.68, 21,902.20 and 4,214.32

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Solution

The fourth proportional to 14,601.68, 21,902.20 and 4,214.32 is: 6,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.68 : 21,902.20 = 4,214.32 : x
  2. Step 2: Convert to fraction form
    14,601.68/21,902.20 = 4,214.32/x
  3. Step 3: Cross multiply
    14,601.68x = 21,902.20 × 4,214.32
  4. Step 4: Simplify right side
    14,601.68x = 92,302,879.50
  5. Step 5: Solve for x
    x = 92,302,879.50/14,601.68
  6. Step 6: Final answer
    x = 6,321.39

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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.