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Finding the Fourth Proportional to 12,086.55, 18,097.02 and 6,231.60

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Solution

The fourth proportional to 12,086.55, 18,097.02 and 6,231.60 is: 9,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.55 : 18,097.02 = 6,231.60 : x
  2. Step 2: Convert to fraction form
    12,086.55/18,097.02 = 6,231.60/x
  3. Step 3: Cross multiply
    12,086.55x = 18,097.02 × 6,231.60
  4. Step 4: Simplify right side
    12,086.55x = 112,773,389.83
  5. Step 5: Solve for x
    x = 112,773,389.83/12,086.55
  6. Step 6: Final answer
    x = 9,330.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.