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Finding the Fourth Proportional to 22,609.50, 31,201.49 and 12,538.37

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Solution

The fourth proportional to 22,609.50, 31,201.49 and 12,538.37 is: 17,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.50 : 31,201.49 = 12,538.37 : x
  2. Step 2: Convert to fraction form
    22,609.50/31,201.49 = 12,538.37/x
  3. Step 3: Cross multiply
    22,609.50x = 31,201.49 × 12,538.37
  4. Step 4: Simplify right side
    22,609.50x = 391,215,607.47
  5. Step 5: Solve for x
    x = 391,215,607.47/22,609.50
  6. Step 6: Final answer
    x = 17,303.15

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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.