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Finding the Fourth Proportional to 12,664.50, 18,999.18 and 5,739

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Solution

The fourth proportional to 12,664.50, 18,999.18 and 5,739 is: 8,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.50 : 18,999.18 = 5,739 : x
  2. Step 2: Convert to fraction form
    12,664.50/18,999.18 = 5,739/x
  3. Step 3: Cross multiply
    12,664.50x = 18,999.18 × 5,739
  4. Step 4: Simplify right side
    12,664.50x = 109,036,294.02
  5. Step 5: Solve for x
    x = 109,036,294.02/12,664.50
  6. Step 6: Final answer
    x = 8,609.60

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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.