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Finding the Fourth Proportional to 20,894.33, 31,312.03 and 11,538.56

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Solution

The fourth proportional to 20,894.33, 31,312.03 and 11,538.56 is: 17,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.33 : 31,312.03 = 11,538.56 : x
  2. Step 2: Convert to fraction form
    20,894.33/31,312.03 = 11,538.56/x
  3. Step 3: Cross multiply
    20,894.33x = 31,312.03 × 11,538.56
  4. Step 4: Simplify right side
    20,894.33x = 361,295,736.88
  5. Step 5: Solve for x
    x = 361,295,736.88/20,894.33
  6. Step 6: Final answer
    x = 17,291.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.