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Finding the Fourth Proportional to 12,293.80, 18,436.43 and 7,606.64

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Solution

The fourth proportional to 12,293.80, 18,436.43 and 7,606.64 is: 11,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.80 : 18,436.43 = 7,606.64 : x
  2. Step 2: Convert to fraction form
    12,293.80/18,436.43 = 7,606.64/x
  3. Step 3: Cross multiply
    12,293.80x = 18,436.43 × 7,606.64
  4. Step 4: Simplify right side
    12,293.80x = 140,239,351.00
  5. Step 5: Solve for x
    x = 140,239,351.00/12,293.80
  6. Step 6: Final answer
    x = 11,407.33

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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.