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Finding the Fourth Proportional to 20,953.70, 31,430.94 and 16,774.31

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Solution

The fourth proportional to 20,953.70, 31,430.94 and 16,774.31 is: 25,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.70 : 31,430.94 = 16,774.31 : x
  2. Step 2: Convert to fraction form
    20,953.70/31,430.94 = 16,774.31/x
  3. Step 3: Cross multiply
    20,953.70x = 31,430.94 × 16,774.31
  4. Step 4: Simplify right side
    20,953.70x = 527,232,331.15
  5. Step 5: Solve for x
    x = 527,232,331.15/20,953.70
  6. Step 6: Final answer
    x = 25,161.78

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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.