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Finding the Fourth Proportional to 12,211.47, 16,852.59 and 7,434.90

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Solution

The fourth proportional to 12,211.47, 16,852.59 and 7,434.90 is: 10,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.47 : 16,852.59 = 7,434.90 : x
  2. Step 2: Convert to fraction form
    12,211.47/16,852.59 = 7,434.90/x
  3. Step 3: Cross multiply
    12,211.47x = 16,852.59 × 7,434.90
  4. Step 4: Simplify right side
    12,211.47x = 125,297,321.39
  5. Step 5: Solve for x
    x = 125,297,321.39/12,211.47
  6. Step 6: Final answer
    x = 10,260.63

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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.