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Finding the Fourth Proportional to 13,749.61, 18,974.46 and 7,461.98

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Solution

The fourth proportional to 13,749.61, 18,974.46 and 7,461.98 is: 10,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.61 : 18,974.46 = 7,461.98 : x
  2. Step 2: Convert to fraction form
    13,749.61/18,974.46 = 7,461.98/x
  3. Step 3: Cross multiply
    13,749.61x = 18,974.46 × 7,461.98
  4. Step 4: Simplify right side
    13,749.61x = 141,587,152.03
  5. Step 5: Solve for x
    x = 141,587,152.03/13,749.61
  6. Step 6: Final answer
    x = 10,297.54

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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.