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Finding the Fourth Proportional to 12,429.98, 18,644.37 and 4,638.19

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Solution

The fourth proportional to 12,429.98, 18,644.37 and 4,638.19 is: 6,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.98 : 18,644.37 = 4,638.19 : x
  2. Step 2: Convert to fraction form
    12,429.98/18,644.37 = 4,638.19/x
  3. Step 3: Cross multiply
    12,429.98x = 18,644.37 × 4,638.19
  4. Step 4: Simplify right side
    12,429.98x = 86,476,066.49
  5. Step 5: Solve for x
    x = 86,476,066.49/12,429.98
  6. Step 6: Final answer
    x = 6,957.05

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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.