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Finding the Fourth Proportional to 22,610.71, 31,201.26 and 12,538.78

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Solution

The fourth proportional to 22,610.71, 31,201.26 and 12,538.78 is: 17,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.71 : 31,201.26 = 12,538.78 : x
  2. Step 2: Convert to fraction form
    22,610.71/31,201.26 = 12,538.78/x
  3. Step 3: Cross multiply
    22,610.71x = 31,201.26 × 12,538.78
  4. Step 4: Simplify right side
    22,610.71x = 391,225,734.86
  5. Step 5: Solve for x
    x = 391,225,734.86/22,610.71
  6. Step 6: Final answer
    x = 17,302.67

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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.