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Finding the Fourth Proportional to 20,080.96, 27,702.40 and 13,009.76

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Solution

The fourth proportional to 20,080.96, 27,702.40 and 13,009.76 is: 17,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.96 : 27,702.40 = 13,009.76 : x
  2. Step 2: Convert to fraction form
    20,080.96/27,702.40 = 13,009.76/x
  3. Step 3: Cross multiply
    20,080.96x = 27,702.40 × 13,009.76
  4. Step 4: Simplify right side
    20,080.96x = 360,401,575.42
  5. Step 5: Solve for x
    x = 360,401,575.42/20,080.96
  6. Step 6: Final answer
    x = 17,947.43

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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.