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Finding the Fourth Proportional to 12,000.64, 18,000.12 and 4,210

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Solution

The fourth proportional to 12,000.64, 18,000.12 and 4,210 is: 6,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.64 : 18,000.12 = 4,210 : x
  2. Step 2: Convert to fraction form
    12,000.64/18,000.12 = 4,210/x
  3. Step 3: Cross multiply
    12,000.64x = 18,000.12 × 4,210
  4. Step 4: Simplify right side
    12,000.64x = 75,780,505.20
  5. Step 5: Solve for x
    x = 75,780,505.20/12,000.64
  6. Step 6: Final answer
    x = 6,314.71

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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.