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Finding the Fourth Proportional to 11,923.50, 16,448.76 and 8,388.66

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Solution

The fourth proportional to 11,923.50, 16,448.76 and 8,388.66 is: 11,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.50 : 16,448.76 = 8,388.66 : x
  2. Step 2: Convert to fraction form
    11,923.50/16,448.76 = 8,388.66/x
  3. Step 3: Cross multiply
    11,923.50x = 16,448.76 × 8,388.66
  4. Step 4: Simplify right side
    11,923.50x = 137,983,055.06
  5. Step 5: Solve for x
    x = 137,983,055.06/11,923.50
  6. Step 6: Final answer
    x = 11,572.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.