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Finding the Fourth Proportional to 12,205.98, 18,307.35 and 3,441.60

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Solution

The fourth proportional to 12,205.98, 18,307.35 and 3,441.60 is: 5,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.98 : 18,307.35 = 3,441.60 : x
  2. Step 2: Convert to fraction form
    12,205.98/18,307.35 = 3,441.60/x
  3. Step 3: Cross multiply
    12,205.98x = 18,307.35 × 3,441.60
  4. Step 4: Simplify right side
    12,205.98x = 63,006,575.76
  5. Step 5: Solve for x
    x = 63,006,575.76/12,205.98
  6. Step 6: Final answer
    x = 5,161.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.