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Finding the Fourth Proportional to 20,116, 27,749.76 and 12,947.20

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Solution

The fourth proportional to 20,116, 27,749.76 and 12,947.20 is: 17,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116 : 27,749.76 = 12,947.20 : x
  2. Step 2: Convert to fraction form
    20,116/27,749.76 = 12,947.20/x
  3. Step 3: Cross multiply
    20,116x = 27,749.76 × 12,947.20
  4. Step 4: Simplify right side
    20,116x = 359,281,692.67
  5. Step 5: Solve for x
    x = 359,281,692.67/20,116
  6. Step 6: Final answer
    x = 17,860.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.