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Finding the Fourth Proportional to 13,457.82, 20,168.22 and 6,870.12

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Solution

The fourth proportional to 13,457.82, 20,168.22 and 6,870.12 is: 10,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.82 : 20,168.22 = 6,870.12 : x
  2. Step 2: Convert to fraction form
    13,457.82/20,168.22 = 6,870.12/x
  3. Step 3: Cross multiply
    13,457.82x = 20,168.22 × 6,870.12
  4. Step 4: Simplify right side
    13,457.82x = 138,558,091.59
  5. Step 5: Solve for x
    x = 138,558,091.59/13,457.82
  6. Step 6: Final answer
    x = 10,295.73

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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.