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Finding the Fourth Proportional to 21,202.40, 31,825.68 and 15,662

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Solution

The fourth proportional to 21,202.40, 31,825.68 and 15,662 is: 23,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.40 : 31,825.68 = 15,662 : x
  2. Step 2: Convert to fraction form
    21,202.40/31,825.68 = 15,662/x
  3. Step 3: Cross multiply
    21,202.40x = 31,825.68 × 15,662
  4. Step 4: Simplify right side
    21,202.40x = 498,453,800.16
  5. Step 5: Solve for x
    x = 498,453,800.16/21,202.40
  6. Step 6: Final answer
    x = 23,509.31

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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.