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Finding the Fourth Proportional to 21,759, 30,017.28 and 12,800.80

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Solution

The fourth proportional to 21,759, 30,017.28 and 12,800.80 is: 17,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,759 : 30,017.28 = 12,800.80 : x
  2. Step 2: Convert to fraction form
    21,759/30,017.28 = 12,800.80/x
  3. Step 3: Cross multiply
    21,759x = 30,017.28 × 12,800.80
  4. Step 4: Simplify right side
    21,759x = 384,245,197.82
  5. Step 5: Solve for x
    x = 384,245,197.82/21,759
  6. Step 6: Final answer
    x = 17,659.14

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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.