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Finding the Fourth Proportional to 22,596.41, 31,183.05 and 12,526.37

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Solution

The fourth proportional to 22,596.41, 31,183.05 and 12,526.37 is: 17,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.41 : 31,183.05 = 12,526.37 : x
  2. Step 2: Convert to fraction form
    22,596.41/31,183.05 = 12,526.37/x
  3. Step 3: Cross multiply
    22,596.41x = 31,183.05 × 12,526.37
  4. Step 4: Simplify right side
    22,596.41x = 390,610,422.03
  5. Step 5: Solve for x
    x = 390,610,422.03/22,596.41
  6. Step 6: Final answer
    x = 17,286.39

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Why These Related Problems?

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