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Finding the Fourth Proportional to 16,932.38, 23,366.62 and 9,762.24

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Solution

The fourth proportional to 16,932.38, 23,366.62 and 9,762.24 is: 13,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,932.38 : 23,366.62 = 9,762.24 : x
  2. Step 2: Convert to fraction form
    16,932.38/23,366.62 = 9,762.24/x
  3. Step 3: Cross multiply
    16,932.38x = 23,366.62 × 9,762.24
  4. Step 4: Simplify right side
    16,932.38x = 228,110,552.43
  5. Step 5: Solve for x
    x = 228,110,552.43/16,932.38
  6. Step 6: Final answer
    x = 13,471.85

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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.