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Finding the Fourth Proportional to 12,011.62, 18,017.43 and 6,164.50

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Solution

The fourth proportional to 12,011.62, 18,017.43 and 6,164.50 is: 9,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.62 : 18,017.43 = 6,164.50 : x
  2. Step 2: Convert to fraction form
    12,011.62/18,017.43 = 6,164.50/x
  3. Step 3: Cross multiply
    12,011.62x = 18,017.43 × 6,164.50
  4. Step 4: Simplify right side
    12,011.62x = 111,068,326.33
  5. Step 5: Solve for x
    x = 111,068,326.33/12,011.62
  6. Step 6: Final answer
    x = 9,246.74

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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.