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Finding the Fourth Proportional to 12,477.60, 18,723.60 and 4,687.20

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Solution

The fourth proportional to 12,477.60, 18,723.60 and 4,687.20 is: 7,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.60 : 18,723.60 = 4,687.20 : x
  2. Step 2: Convert to fraction form
    12,477.60/18,723.60 = 4,687.20/x
  3. Step 3: Cross multiply
    12,477.60x = 18,723.60 × 4,687.20
  4. Step 4: Simplify right side
    12,477.60x = 87,761,257.92
  5. Step 5: Solve for x
    x = 87,761,257.92/12,477.60
  6. Step 6: Final answer
    x = 7,033.50

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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.