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Finding the Fourth Proportional to 13,523.68, 18,675.56 and 12,787.44

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Solution

The fourth proportional to 13,523.68, 18,675.56 and 12,787.44 is: 17,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.68 : 18,675.56 = 12,787.44 : x
  2. Step 2: Convert to fraction form
    13,523.68/18,675.56 = 12,787.44/x
  3. Step 3: Cross multiply
    13,523.68x = 18,675.56 × 12,787.44
  4. Step 4: Simplify right side
    13,523.68x = 238,812,602.97
  5. Step 5: Solve for x
    x = 238,812,602.97/13,523.68
  6. Step 6: Final answer
    x = 17,658.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.