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Finding the Fourth Proportional to 12,078.84, 18,092.70 and 8,116.68

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Solution

The fourth proportional to 12,078.84, 18,092.70 and 8,116.68 is: 12,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.84 : 18,092.70 = 8,116.68 : x
  2. Step 2: Convert to fraction form
    12,078.84/18,092.70 = 8,116.68/x
  3. Step 3: Cross multiply
    12,078.84x = 18,092.70 × 8,116.68
  4. Step 4: Simplify right side
    12,078.84x = 146,852,656.24
  5. Step 5: Solve for x
    x = 146,852,656.24/12,078.84
  6. Step 6: Final answer
    x = 12,157.84

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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.