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Finding the Fourth Proportional to 12,429.94, 18,633.84 and 4,530.97

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Solution

The fourth proportional to 12,429.94, 18,633.84 and 4,530.97 is: 6,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.94 : 18,633.84 = 4,530.97 : x
  2. Step 2: Convert to fraction form
    12,429.94/18,633.84 = 4,530.97/x
  3. Step 3: Cross multiply
    12,429.94x = 18,633.84 × 4,530.97
  4. Step 4: Simplify right side
    12,429.94x = 84,429,370.02
  5. Step 5: Solve for x
    x = 84,429,370.02/12,429.94
  6. Step 6: Final answer
    x = 6,792.42

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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.