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Finding the Fourth Proportional to 12,380.40, 18,480.69 and 11,466.72

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Solution

The fourth proportional to 12,380.40, 18,480.69 and 11,466.72 is: 17,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.40 : 18,480.69 = 11,466.72 : x
  2. Step 2: Convert to fraction form
    12,380.40/18,480.69 = 11,466.72/x
  3. Step 3: Cross multiply
    12,380.40x = 18,480.69 × 11,466.72
  4. Step 4: Simplify right side
    12,380.40x = 211,912,897.64
  5. Step 5: Solve for x
    x = 211,912,897.64/12,380.40
  6. Step 6: Final answer
    x = 17,116.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.