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Finding the Fourth Proportional to 13,841.92, 20,770.17 and 6,056.20

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Solution

The fourth proportional to 13,841.92, 20,770.17 and 6,056.20 is: 9,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.92 : 20,770.17 = 6,056.20 : x
  2. Step 2: Convert to fraction form
    13,841.92/20,770.17 = 6,056.20/x
  3. Step 3: Cross multiply
    13,841.92x = 20,770.17 × 6,056.20
  4. Step 4: Simplify right side
    13,841.92x = 125,788,303.55
  5. Step 5: Solve for x
    x = 125,788,303.55/13,841.92
  6. Step 6: Final answer
    x = 9,087.49

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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.