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Finding the Fourth Proportional to 12,002.68, 18,005.82 and 4,210.12

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Solution

The fourth proportional to 12,002.68, 18,005.82 and 4,210.12 is: 6,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.68 : 18,005.82 = 4,210.12 : x
  2. Step 2: Convert to fraction form
    12,002.68/18,005.82 = 4,210.12/x
  3. Step 3: Cross multiply
    12,002.68x = 18,005.82 × 4,210.12
  4. Step 4: Simplify right side
    12,002.68x = 75,806,662.90
  5. Step 5: Solve for x
    x = 75,806,662.90/12,002.68
  6. Step 6: Final answer
    x = 6,315.81

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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.