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Finding the Fourth Proportional to 24,183.90, 36,271.53 and 6,649.83

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Solution

The fourth proportional to 24,183.90, 36,271.53 and 6,649.83 is: 9,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.90 : 36,271.53 = 6,649.83 : x
  2. Step 2: Convert to fraction form
    24,183.90/36,271.53 = 6,649.83/x
  3. Step 3: Cross multiply
    24,183.90x = 36,271.53 × 6,649.83
  4. Step 4: Simplify right side
    24,183.90x = 241,199,508.34
  5. Step 5: Solve for x
    x = 241,199,508.34/24,183.90
  6. Step 6: Final answer
    x = 9,973.56

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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.