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Finding the Fourth Proportional to 13,420, 20,132.88 and 5,212

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Solution

The fourth proportional to 13,420, 20,132.88 and 5,212 is: 7,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 20,132.88 = 5,212 : x
  2. Step 2: Convert to fraction form
    13,420/20,132.88 = 5,212/x
  3. Step 3: Cross multiply
    13,420x = 20,132.88 × 5,212
  4. Step 4: Simplify right side
    13,420x = 104,932,570.56
  5. Step 5: Solve for x
    x = 104,932,570.56/13,420
  6. Step 6: Final answer
    x = 7,819.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.