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Finding the Fourth Proportional to 15,865.20, 23,797.80 and 13,921.20

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Solution

The fourth proportional to 15,865.20, 23,797.80 and 13,921.20 is: 20,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.20 : 23,797.80 = 13,921.20 : x
  2. Step 2: Convert to fraction form
    15,865.20/23,797.80 = 13,921.20/x
  3. Step 3: Cross multiply
    15,865.20x = 23,797.80 × 13,921.20
  4. Step 4: Simplify right side
    15,865.20x = 331,293,933.36
  5. Step 5: Solve for x
    x = 331,293,933.36/15,865.20
  6. Step 6: Final answer
    x = 20,881.80

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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.