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Finding the Fourth Proportional to 20,764.42, 28,650.52 and 13,208

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Solution

The fourth proportional to 20,764.42, 28,650.52 and 13,208 is: 18,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.42 : 28,650.52 = 13,208 : x
  2. Step 2: Convert to fraction form
    20,764.42/28,650.52 = 13,208/x
  3. Step 3: Cross multiply
    20,764.42x = 28,650.52 × 13,208
  4. Step 4: Simplify right side
    20,764.42x = 378,416,068.16
  5. Step 5: Solve for x
    x = 378,416,068.16/20,764.42
  6. Step 6: Final answer
    x = 18,224.25

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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.