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Finding the Fourth Proportional to 22,609.50, 31,200.96 and 12,537.94

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Solution

The fourth proportional to 22,609.50, 31,200.96 and 12,537.94 is: 17,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.50 : 31,200.96 = 12,537.94 : x
  2. Step 2: Convert to fraction form
    22,609.50/31,200.96 = 12,537.94/x
  3. Step 3: Cross multiply
    22,609.50x = 31,200.96 × 12,537.94
  4. Step 4: Simplify right side
    22,609.50x = 391,195,764.42
  5. Step 5: Solve for x
    x = 391,195,764.42/22,609.50
  6. Step 6: Final answer
    x = 17,302.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.