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Finding the Fourth Proportional to 20,833.70, 31,214.15 and 17,346.11

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Solution

The fourth proportional to 20,833.70, 31,214.15 and 17,346.11 is: 25,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.70 : 31,214.15 = 17,346.11 : x
  2. Step 2: Convert to fraction form
    20,833.70/31,214.15 = 17,346.11/x
  3. Step 3: Cross multiply
    20,833.70x = 31,214.15 × 17,346.11
  4. Step 4: Simplify right side
    20,833.70x = 541,443,992.73
  5. Step 5: Solve for x
    x = 541,443,992.73/20,833.70
  6. Step 6: Final answer
    x = 25,988.85

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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.