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Finding the Fourth Proportional to 12,304.67, 18,466.43 and 6,386.41

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Solution

The fourth proportional to 12,304.67, 18,466.43 and 6,386.41 is: 9,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.67 : 18,466.43 = 6,386.41 : x
  2. Step 2: Convert to fraction form
    12,304.67/18,466.43 = 6,386.41/x
  3. Step 3: Cross multiply
    12,304.67x = 18,466.43 × 6,386.41
  4. Step 4: Simplify right side
    12,304.67x = 117,934,115.12
  5. Step 5: Solve for x
    x = 117,934,115.12/12,304.67
  6. Step 6: Final answer
    x = 9,584.50

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Why These Related Problems?

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