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Finding the Fourth Proportional to 13,512.74, 18,647.40 and 7,544.50

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Solution

The fourth proportional to 13,512.74, 18,647.40 and 7,544.50 is: 10,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.74 : 18,647.40 = 7,544.50 : x
  2. Step 2: Convert to fraction form
    13,512.74/18,647.40 = 7,544.50/x
  3. Step 3: Cross multiply
    13,512.74x = 18,647.40 × 7,544.50
  4. Step 4: Simplify right side
    13,512.74x = 140,685,309.30
  5. Step 5: Solve for x
    x = 140,685,309.30/13,512.74
  6. Step 6: Final answer
    x = 10,411.31

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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.