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Finding the Fourth Proportional to 16,541.70, 24,751.80 and 12,167.70

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Solution

The fourth proportional to 16,541.70, 24,751.80 and 12,167.70 is: 18,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.70 : 24,751.80 = 12,167.70 : x
  2. Step 2: Convert to fraction form
    16,541.70/24,751.80 = 12,167.70/x
  3. Step 3: Cross multiply
    16,541.70x = 24,751.80 × 12,167.70
  4. Step 4: Simplify right side
    16,541.70x = 301,172,476.86
  5. Step 5: Solve for x
    x = 301,172,476.86/16,541.70
  6. Step 6: Final answer
    x = 18,206.86

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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.