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Finding the Fourth Proportional to 13,523.72, 18,661.64 and 7,554.24

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Solution

The fourth proportional to 13,523.72, 18,661.64 and 7,554.24 is: 10,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.72 : 18,661.64 = 7,554.24 : x
  2. Step 2: Convert to fraction form
    13,523.72/18,661.64 = 7,554.24/x
  3. Step 3: Cross multiply
    13,523.72x = 18,661.64 × 7,554.24
  4. Step 4: Simplify right side
    13,523.72x = 140,974,469.58
  5. Step 5: Solve for x
    x = 140,974,469.58/13,523.72
  6. Step 6: Final answer
    x = 10,424.24

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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.