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Finding the Fourth Proportional to 12,048.68, 18,043.68 and 8,340.50

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Solution

The fourth proportional to 12,048.68, 18,043.68 and 8,340.50 is: 12,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.68 : 18,043.68 = 8,340.50 : x
  2. Step 2: Convert to fraction form
    12,048.68/18,043.68 = 8,340.50/x
  3. Step 3: Cross multiply
    12,048.68x = 18,043.68 × 8,340.50
  4. Step 4: Simplify right side
    12,048.68x = 150,493,313.04
  5. Step 5: Solve for x
    x = 150,493,313.04/12,048.68
  6. Step 6: Final answer
    x = 12,490.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.