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Finding the Fourth Proportional to 16,407.36, 24,609.81 and 6,548.85

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Solution

The fourth proportional to 16,407.36, 24,609.81 and 6,548.85 is: 9,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.36 : 24,609.81 = 6,548.85 : x
  2. Step 2: Convert to fraction form
    16,407.36/24,609.81 = 6,548.85/x
  3. Step 3: Cross multiply
    16,407.36x = 24,609.81 × 6,548.85
  4. Step 4: Simplify right side
    16,407.36x = 161,165,954.22
  5. Step 5: Solve for x
    x = 161,165,954.22/16,407.36
  6. Step 6: Final answer
    x = 9,822.78

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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.