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Finding the Fourth Proportional to 16,652.30, 24,978.45 and 9,253.22

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Solution

The fourth proportional to 16,652.30, 24,978.45 and 9,253.22 is: 13,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.30 : 24,978.45 = 9,253.22 : x
  2. Step 2: Convert to fraction form
    16,652.30/24,978.45 = 9,253.22/x
  3. Step 3: Cross multiply
    16,652.30x = 24,978.45 × 9,253.22
  4. Step 4: Simplify right side
    16,652.30x = 231,131,093.11
  5. Step 5: Solve for x
    x = 231,131,093.11/16,652.30
  6. Step 6: Final answer
    x = 13,879.83

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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.