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Finding the Fourth Proportional to 12,429.18, 18,644.41 and 4,531.51

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Solution

The fourth proportional to 12,429.18, 18,644.41 and 4,531.51 is: 6,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.18 : 18,644.41 = 4,531.51 : x
  2. Step 2: Convert to fraction form
    12,429.18/18,644.41 = 4,531.51/x
  3. Step 3: Cross multiply
    12,429.18x = 18,644.41 × 4,531.51
  4. Step 4: Simplify right side
    12,429.18x = 84,487,359.33
  5. Step 5: Solve for x
    x = 84,487,359.33/12,429.18
  6. Step 6: Final answer
    x = 6,797.50

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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.