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Finding the Fourth Proportional to 12,466.39, 18,699.75 and 4,146.41

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Solution

The fourth proportional to 12,466.39, 18,699.75 and 4,146.41 is: 6,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.39 : 18,699.75 = 4,146.41 : x
  2. Step 2: Convert to fraction form
    12,466.39/18,699.75 = 4,146.41/x
  3. Step 3: Cross multiply
    12,466.39x = 18,699.75 × 4,146.41
  4. Step 4: Simplify right side
    12,466.39x = 77,536,716.17
  5. Step 5: Solve for x
    x = 77,536,716.17/12,466.39
  6. Step 6: Final answer
    x = 6,219.66

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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.