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Finding the Fourth Proportional to 13,733.96, 20,602.38 and 4,500.68

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Solution

The fourth proportional to 13,733.96, 20,602.38 and 4,500.68 is: 6,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.96 : 20,602.38 = 4,500.68 : x
  2. Step 2: Convert to fraction form
    13,733.96/20,602.38 = 4,500.68/x
  3. Step 3: Cross multiply
    13,733.96x = 20,602.38 × 4,500.68
  4. Step 4: Simplify right side
    13,733.96x = 92,724,719.62
  5. Step 5: Solve for x
    x = 92,724,719.62/13,733.96
  6. Step 6: Final answer
    x = 6,751.49

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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.