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Finding the Fourth Proportional to 21,759.16, 30,016.96 and 14,202

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Solution

The fourth proportional to 21,759.16, 30,016.96 and 14,202 is: 19,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,759.16 : 30,016.96 = 14,202 : x
  2. Step 2: Convert to fraction form
    21,759.16/30,016.96 = 14,202/x
  3. Step 3: Cross multiply
    21,759.16x = 30,016.96 × 14,202
  4. Step 4: Simplify right side
    21,759.16x = 426,300,865.92
  5. Step 5: Solve for x
    x = 426,300,865.92/21,759.16
  6. Step 6: Final answer
    x = 19,591.79

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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.