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Finding the Fourth Proportional to 13,640.83, 20,458.95 and 4,406.83

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Solution

The fourth proportional to 13,640.83, 20,458.95 and 4,406.83 is: 6,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.83 : 20,458.95 = 4,406.83 : x
  2. Step 2: Convert to fraction form
    13,640.83/20,458.95 = 4,406.83/x
  3. Step 3: Cross multiply
    13,640.83x = 20,458.95 × 4,406.83
  4. Step 4: Simplify right side
    13,640.83x = 90,159,114.63
  5. Step 5: Solve for x
    x = 90,159,114.63/13,640.83
  6. Step 6: Final answer
    x = 6,609.50

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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.