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Finding the Fourth Proportional to 20,765.94, 31,117.01 and 14,093.76

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Solution

The fourth proportional to 20,765.94, 31,117.01 and 14,093.76 is: 21,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.94 : 31,117.01 = 14,093.76 : x
  2. Step 2: Convert to fraction form
    20,765.94/31,117.01 = 14,093.76/x
  3. Step 3: Cross multiply
    20,765.94x = 31,117.01 × 14,093.76
  4. Step 4: Simplify right side
    20,765.94x = 438,555,796.35
  5. Step 5: Solve for x
    x = 438,555,796.35/20,765.94
  6. Step 6: Final answer
    x = 21,119.00

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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.