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Finding the Fourth Proportional to 12,420, 18,633.60 and 4,212

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Solution

The fourth proportional to 12,420, 18,633.60 and 4,212 is: 6,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420 : 18,633.60 = 4,212 : x
  2. Step 2: Convert to fraction form
    12,420/18,633.60 = 4,212/x
  3. Step 3: Cross multiply
    12,420x = 18,633.60 × 4,212
  4. Step 4: Simplify right side
    12,420x = 78,484,723.20
  5. Step 5: Solve for x
    x = 78,484,723.20/12,420
  6. Step 6: Final answer
    x = 6,319.22

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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.