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Finding the Fourth Proportional to 12,448.90, 18,676.82 and 5,429.54

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Solution

The fourth proportional to 12,448.90, 18,676.82 and 5,429.54 is: 8,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.90 : 18,676.82 = 5,429.54 : x
  2. Step 2: Convert to fraction form
    12,448.90/18,676.82 = 5,429.54/x
  3. Step 3: Cross multiply
    12,448.90x = 18,676.82 × 5,429.54
  4. Step 4: Simplify right side
    12,448.90x = 101,406,541.26
  5. Step 5: Solve for x
    x = 101,406,541.26/12,448.90
  6. Step 6: Final answer
    x = 8,145.82

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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.