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Finding the Fourth Proportional to 13,457.34, 20,172.92 and 6,435.54

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Solution

The fourth proportional to 13,457.34, 20,172.92 and 6,435.54 is: 9,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.34 : 20,172.92 = 6,435.54 : x
  2. Step 2: Convert to fraction form
    13,457.34/20,172.92 = 6,435.54/x
  3. Step 3: Cross multiply
    13,457.34x = 20,172.92 × 6,435.54
  4. Step 4: Simplify right side
    13,457.34x = 129,823,633.58
  5. Step 5: Solve for x
    x = 129,823,633.58/13,457.34
  6. Step 6: Final answer
    x = 9,647.05

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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.