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Finding the Fourth Proportional to 20,762.43, 28,647.75 and 13,206

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Solution

The fourth proportional to 20,762.43, 28,647.75 and 13,206 is: 18,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.43 : 28,647.75 = 13,206 : x
  2. Step 2: Convert to fraction form
    20,762.43/28,647.75 = 13,206/x
  3. Step 3: Cross multiply
    20,762.43x = 28,647.75 × 13,206
  4. Step 4: Simplify right side
    20,762.43x = 378,322,186.50
  5. Step 5: Solve for x
    x = 378,322,186.50/20,762.43
  6. Step 6: Final answer
    x = 18,221.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.