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Finding the Fourth Proportional to 16,544.99, 22,832.38 and 9,835.76

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Solution

The fourth proportional to 16,544.99, 22,832.38 and 9,835.76 is: 13,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.99 : 22,832.38 = 9,835.76 : x
  2. Step 2: Convert to fraction form
    16,544.99/22,832.38 = 9,835.76/x
  3. Step 3: Cross multiply
    16,544.99x = 22,832.38 × 9,835.76
  4. Step 4: Simplify right side
    16,544.99x = 224,573,879.28
  5. Step 5: Solve for x
    x = 224,573,879.28/16,544.99
  6. Step 6: Final answer
    x = 13,573.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.