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Finding the Fourth Proportional to 16,450.56, 24,678.40 and 5,504

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Solution

The fourth proportional to 16,450.56, 24,678.40 and 5,504 is: 8,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.56 : 24,678.40 = 5,504 : x
  2. Step 2: Convert to fraction form
    16,450.56/24,678.40 = 5,504/x
  3. Step 3: Cross multiply
    16,450.56x = 24,678.40 × 5,504
  4. Step 4: Simplify right side
    16,450.56x = 135,829,913.60
  5. Step 5: Solve for x
    x = 135,829,913.60/16,450.56
  6. Step 6: Final answer
    x = 8,256.86

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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.