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Finding the Fourth Proportional to 16,215.20, 24,322.80 and 10,383.20

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Solution

The fourth proportional to 16,215.20, 24,322.80 and 10,383.20 is: 15,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.20 : 24,322.80 = 10,383.20 : x
  2. Step 2: Convert to fraction form
    16,215.20/24,322.80 = 10,383.20/x
  3. Step 3: Cross multiply
    16,215.20x = 24,322.80 × 10,383.20
  4. Step 4: Simplify right side
    16,215.20x = 252,548,496.96
  5. Step 5: Solve for x
    x = 252,548,496.96/16,215.20
  6. Step 6: Final answer
    x = 15,574.80

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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.