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Finding the Fourth Proportional to 13,885.56, 20,828.52 and 6,489

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Solution

The fourth proportional to 13,885.56, 20,828.52 and 6,489 is: 9,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.56 : 20,828.52 = 6,489 : x
  2. Step 2: Convert to fraction form
    13,885.56/20,828.52 = 6,489/x
  3. Step 3: Cross multiply
    13,885.56x = 20,828.52 × 6,489
  4. Step 4: Simplify right side
    13,885.56x = 135,156,266.28
  5. Step 5: Solve for x
    x = 135,156,266.28/13,885.56
  6. Step 6: Final answer
    x = 9,733.58

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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.