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Finding the Fourth Proportional to 13,837.68, 20,763.78 and 8,302.14

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Solution

The fourth proportional to 13,837.68, 20,763.78 and 8,302.14 is: 12,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.68 : 20,763.78 = 8,302.14 : x
  2. Step 2: Convert to fraction form
    13,837.68/20,763.78 = 8,302.14/x
  3. Step 3: Cross multiply
    13,837.68x = 20,763.78 × 8,302.14
  4. Step 4: Simplify right side
    13,837.68x = 172,383,808.49
  5. Step 5: Solve for x
    x = 172,383,808.49/13,837.68
  6. Step 6: Final answer
    x = 12,457.57

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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.