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Finding the Fourth Proportional to 16,530.78, 24,796.20 and 7,296.78

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Solution

The fourth proportional to 16,530.78, 24,796.20 and 7,296.78 is: 10,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.78 : 24,796.20 = 7,296.78 : x
  2. Step 2: Convert to fraction form
    16,530.78/24,796.20 = 7,296.78/x
  3. Step 3: Cross multiply
    16,530.78x = 24,796.20 × 7,296.78
  4. Step 4: Simplify right side
    16,530.78x = 180,932,416.24
  5. Step 5: Solve for x
    x = 180,932,416.24/16,530.78
  6. Step 6: Final answer
    x = 10,945.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.