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Finding the Fourth Proportional to 12,102.48, 16,685.73 and 8,318.70

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Solution

The fourth proportional to 12,102.48, 16,685.73 and 8,318.70 is: 11,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.48 : 16,685.73 = 8,318.70 : x
  2. Step 2: Convert to fraction form
    12,102.48/16,685.73 = 8,318.70/x
  3. Step 3: Cross multiply
    12,102.48x = 16,685.73 × 8,318.70
  4. Step 4: Simplify right side
    12,102.48x = 138,803,582.15
  5. Step 5: Solve for x
    x = 138,803,582.15/12,102.48
  6. Step 6: Final answer
    x = 11,469.02

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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.