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Finding the Fourth Proportional to 22,610.34, 31,201.64 and 12,538.73

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Solution

The fourth proportional to 22,610.34, 31,201.64 and 12,538.73 is: 17,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.34 : 31,201.64 = 12,538.73 : x
  2. Step 2: Convert to fraction form
    22,610.34/31,201.64 = 12,538.73/x
  3. Step 3: Cross multiply
    22,610.34x = 31,201.64 × 12,538.73
  4. Step 4: Simplify right side
    22,610.34x = 391,229,001.85
  5. Step 5: Solve for x
    x = 391,229,001.85/22,610.34
  6. Step 6: Final answer
    x = 17,303.10

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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.