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Finding the Fourth Proportional to 16,506.83, 24,764.25 and 9,491.33

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Solution

The fourth proportional to 16,506.83, 24,764.25 and 9,491.33 is: 14,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.83 : 24,764.25 = 9,491.33 : x
  2. Step 2: Convert to fraction form
    16,506.83/24,764.25 = 9,491.33/x
  3. Step 3: Cross multiply
    16,506.83x = 24,764.25 × 9,491.33
  4. Step 4: Simplify right side
    16,506.83x = 235,045,668.95
  5. Step 5: Solve for x
    x = 235,045,668.95/16,506.83
  6. Step 6: Final answer
    x = 14,239.30

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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.