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Finding the Fourth Proportional to 12,005.56, 18,008.45 and 4,214.38

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Solution

The fourth proportional to 12,005.56, 18,008.45 and 4,214.38 is: 6,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.56 : 18,008.45 = 4,214.38 : x
  2. Step 2: Convert to fraction form
    12,005.56/18,008.45 = 4,214.38/x
  3. Step 3: Cross multiply
    12,005.56x = 18,008.45 × 4,214.38
  4. Step 4: Simplify right side
    12,005.56x = 75,894,340.40
  5. Step 5: Solve for x
    x = 75,894,340.40/12,005.56
  6. Step 6: Final answer
    x = 6,321.60

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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.