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Finding the Fourth Proportional to 12,509.33, 18,766.05 and 5,111.81

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Solution

The fourth proportional to 12,509.33, 18,766.05 and 5,111.81 is: 7,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.33 : 18,766.05 = 5,111.81 : x
  2. Step 2: Convert to fraction form
    12,509.33/18,766.05 = 5,111.81/x
  3. Step 3: Cross multiply
    12,509.33x = 18,766.05 × 5,111.81
  4. Step 4: Simplify right side
    12,509.33x = 95,928,362.66
  5. Step 5: Solve for x
    x = 95,928,362.66/12,509.33
  6. Step 6: Final answer
    x = 7,668.55

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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.