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Finding the Fourth Proportional to 12,429.63, 18,612.63 and 6,876.81

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Solution

The fourth proportional to 12,429.63, 18,612.63 and 6,876.81 is: 10,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.63 : 18,612.63 = 6,876.81 : x
  2. Step 2: Convert to fraction form
    12,429.63/18,612.63 = 6,876.81/x
  3. Step 3: Cross multiply
    12,429.63x = 18,612.63 × 6,876.81
  4. Step 4: Simplify right side
    12,429.63x = 127,995,520.11
  5. Step 5: Solve for x
    x = 127,995,520.11/12,429.63
  6. Step 6: Final answer
    x = 10,297.61

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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.