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Finding the Fourth Proportional to 16,309.98, 24,467.40 and 5,215.68

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Solution

The fourth proportional to 16,309.98, 24,467.40 and 5,215.68 is: 7,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.98 : 24,467.40 = 5,215.68 : x
  2. Step 2: Convert to fraction form
    16,309.98/24,467.40 = 5,215.68/x
  3. Step 3: Cross multiply
    16,309.98x = 24,467.40 × 5,215.68
  4. Step 4: Simplify right side
    16,309.98x = 127,614,128.83
  5. Step 5: Solve for x
    x = 127,614,128.83/16,309.98
  6. Step 6: Final answer
    x = 7,824.30

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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.