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Finding the Fourth Proportional to 13,523.50, 18,675.28 and 12,787.22

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Solution

The fourth proportional to 13,523.50, 18,675.28 and 12,787.22 is: 17,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.50 : 18,675.28 = 12,787.22 : x
  2. Step 2: Convert to fraction form
    13,523.50/18,675.28 = 12,787.22/x
  3. Step 3: Cross multiply
    13,523.50x = 18,675.28 × 12,787.22
  4. Step 4: Simplify right side
    13,523.50x = 238,804,913.92
  5. Step 5: Solve for x
    x = 238,804,913.92/13,523.50
  6. Step 6: Final answer
    x = 17,658.51

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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.