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Finding the Fourth Proportional to 22,570.89, 31,137.99 and 13,613.42

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Solution

The fourth proportional to 22,570.89, 31,137.99 and 13,613.42 is: 18,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.89 : 31,137.99 = 13,613.42 : x
  2. Step 2: Convert to fraction form
    22,570.89/31,137.99 = 13,613.42/x
  3. Step 3: Cross multiply
    22,570.89x = 31,137.99 × 13,613.42
  4. Step 4: Simplify right side
    22,570.89x = 423,894,380.14
  5. Step 5: Solve for x
    x = 423,894,380.14/22,570.89
  6. Step 6: Final answer
    x = 18,780.58

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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.