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Finding the Fourth Proportional to 12,575.24, 18,770.65 and 11,099.24

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Solution

The fourth proportional to 12,575.24, 18,770.65 and 11,099.24 is: 16,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.24 : 18,770.65 = 11,099.24 : x
  2. Step 2: Convert to fraction form
    12,575.24/18,770.65 = 11,099.24/x
  3. Step 3: Cross multiply
    12,575.24x = 18,770.65 × 11,099.24
  4. Step 4: Simplify right side
    12,575.24x = 208,339,949.31
  5. Step 5: Solve for x
    x = 208,339,949.31/12,575.24
  6. Step 6: Final answer
    x = 16,567.47

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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.