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Finding the Fourth Proportional to 12,304.33, 18,445.14 and 4,907

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Solution

The fourth proportional to 12,304.33, 18,445.14 and 4,907 is: 7,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.33 : 18,445.14 = 4,907 : x
  2. Step 2: Convert to fraction form
    12,304.33/18,445.14 = 4,907/x
  3. Step 3: Cross multiply
    12,304.33x = 18,445.14 × 4,907
  4. Step 4: Simplify right side
    12,304.33x = 90,510,301.98
  5. Step 5: Solve for x
    x = 90,510,301.98/12,304.33
  6. Step 6: Final answer
    x = 7,355.97

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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.