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Finding the Fourth Proportional to 16,197.37, 24,303.14 and 5,674.96

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Solution

The fourth proportional to 16,197.37, 24,303.14 and 5,674.96 is: 8,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.37 : 24,303.14 = 5,674.96 : x
  2. Step 2: Convert to fraction form
    16,197.37/24,303.14 = 5,674.96/x
  3. Step 3: Cross multiply
    16,197.37x = 24,303.14 × 5,674.96
  4. Step 4: Simplify right side
    16,197.37x = 137,919,370.66
  5. Step 5: Solve for x
    x = 137,919,370.66/16,197.37
  6. Step 6: Final answer
    x = 8,514.93

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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.