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Finding the Fourth Proportional to 16,475.38, 22,730.26 and 11,438.26

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Solution

The fourth proportional to 16,475.38, 22,730.26 and 11,438.26 is: 15,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.38 : 22,730.26 = 11,438.26 : x
  2. Step 2: Convert to fraction form
    16,475.38/22,730.26 = 11,438.26/x
  3. Step 3: Cross multiply
    16,475.38x = 22,730.26 × 11,438.26
  4. Step 4: Simplify right side
    16,475.38x = 259,994,623.75
  5. Step 5: Solve for x
    x = 259,994,623.75/16,475.38
  6. Step 6: Final answer
    x = 15,780.80

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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.