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Finding the Fourth Proportional to 12,514.70, 18,770.23 and 7,583.02

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Solution

The fourth proportional to 12,514.70, 18,770.23 and 7,583.02 is: 11,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.70 : 18,770.23 = 7,583.02 : x
  2. Step 2: Convert to fraction form
    12,514.70/18,770.23 = 7,583.02/x
  3. Step 3: Cross multiply
    12,514.70x = 18,770.23 × 7,583.02
  4. Step 4: Simplify right side
    12,514.70x = 142,334,992.05
  5. Step 5: Solve for x
    x = 142,334,992.05/12,514.70
  6. Step 6: Final answer
    x = 11,373.42

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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.