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Finding the Fourth Proportional to 17,809.38, 24,588.15 and 11,438.54

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Solution

The fourth proportional to 17,809.38, 24,588.15 and 11,438.54 is: 15,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.38 : 24,588.15 = 11,438.54 : x
  2. Step 2: Convert to fraction form
    17,809.38/24,588.15 = 11,438.54/x
  3. Step 3: Cross multiply
    17,809.38x = 24,588.15 × 11,438.54
  4. Step 4: Simplify right side
    17,809.38x = 281,252,480.11
  5. Step 5: Solve for x
    x = 281,252,480.11/17,809.38
  6. Step 6: Final answer
    x = 15,792.38

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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.