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Finding the Fourth Proportional to 12,466.96, 18,703.68 and 5,893

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Solution

The fourth proportional to 12,466.96, 18,703.68 and 5,893 is: 8,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.96 : 18,703.68 = 5,893 : x
  2. Step 2: Convert to fraction form
    12,466.96/18,703.68 = 5,893/x
  3. Step 3: Cross multiply
    12,466.96x = 18,703.68 × 5,893
  4. Step 4: Simplify right side
    12,466.96x = 110,220,786.24
  5. Step 5: Solve for x
    x = 110,220,786.24/12,466.96
  6. Step 6: Final answer
    x = 8,841.03

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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.