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Finding the Fourth Proportional to 12,309.30, 18,464.22 and 4,412.34

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Solution

The fourth proportional to 12,309.30, 18,464.22 and 4,412.34 is: 6,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.30 : 18,464.22 = 4,412.34 : x
  2. Step 2: Convert to fraction form
    12,309.30/18,464.22 = 4,412.34/x
  3. Step 3: Cross multiply
    12,309.30x = 18,464.22 × 4,412.34
  4. Step 4: Simplify right side
    12,309.30x = 81,470,416.47
  5. Step 5: Solve for x
    x = 81,470,416.47/12,309.30
  6. Step 6: Final answer
    x = 6,618.61

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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.