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Finding the Fourth Proportional to 20,940.19, 31,402.08 and 8,457.89

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Solution

The fourth proportional to 20,940.19, 31,402.08 and 8,457.89 is: 12,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.19 : 31,402.08 = 8,457.89 : x
  2. Step 2: Convert to fraction form
    20,940.19/31,402.08 = 8,457.89/x
  3. Step 3: Cross multiply
    20,940.19x = 31,402.08 × 8,457.89
  4. Step 4: Simplify right side
    20,940.19x = 265,595,181.40
  5. Step 5: Solve for x
    x = 265,595,181.40/20,940.19
  6. Step 6: Final answer
    x = 12,683.51

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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.