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Finding the Fourth Proportional to 16,321.64, 24,514.86 and 13,980.74

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Solution

The fourth proportional to 16,321.64, 24,514.86 and 13,980.74 is: 20,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.64 : 24,514.86 = 13,980.74 : x
  2. Step 2: Convert to fraction form
    16,321.64/24,514.86 = 13,980.74/x
  3. Step 3: Cross multiply
    16,321.64x = 24,514.86 × 13,980.74
  4. Step 4: Simplify right side
    16,321.64x = 342,735,883.80
  5. Step 5: Solve for x
    x = 342,735,883.80/16,321.64
  6. Step 6: Final answer
    x = 20,998.86

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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.