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Finding the Fourth Proportional to 20,712.64, 31,072.83 and 11,347.50

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Solution

The fourth proportional to 20,712.64, 31,072.83 and 11,347.50 is: 17,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.64 : 31,072.83 = 11,347.50 : x
  2. Step 2: Convert to fraction form
    20,712.64/31,072.83 = 11,347.50/x
  3. Step 3: Cross multiply
    20,712.64x = 31,072.83 × 11,347.50
  4. Step 4: Simplify right side
    20,712.64x = 352,598,938.43
  5. Step 5: Solve for x
    x = 352,598,938.43/20,712.64
  6. Step 6: Final answer
    x = 17,023.37

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Why These Related Problems?

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