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Finding the Fourth Proportional to 16,546.50, 24,700.62 and 14,181

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Solution

The fourth proportional to 16,546.50, 24,700.62 and 14,181 is: 21,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.50 : 24,700.62 = 14,181 : x
  2. Step 2: Convert to fraction form
    16,546.50/24,700.62 = 14,181/x
  3. Step 3: Cross multiply
    16,546.50x = 24,700.62 × 14,181
  4. Step 4: Simplify right side
    16,546.50x = 350,279,492.22
  5. Step 5: Solve for x
    x = 350,279,492.22/16,546.50
  6. Step 6: Final answer
    x = 21,169.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.