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Finding the Fourth Proportional to 13,753.34, 20,638.68 and 5,855.84

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Solution

The fourth proportional to 13,753.34, 20,638.68 and 5,855.84 is: 8,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.34 : 20,638.68 = 5,855.84 : x
  2. Step 2: Convert to fraction form
    13,753.34/20,638.68 = 5,855.84/x
  3. Step 3: Cross multiply
    13,753.34x = 20,638.68 × 5,855.84
  4. Step 4: Simplify right side
    13,753.34x = 120,856,807.89
  5. Step 5: Solve for x
    x = 120,856,807.89/13,753.34
  6. Step 6: Final answer
    x = 8,787.45

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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.