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Finding the Fourth Proportional to 17,783.62, 24,522.96 and 15,274

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Solution

The fourth proportional to 17,783.62, 24,522.96 and 15,274 is: 21,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.62 : 24,522.96 = 15,274 : x
  2. Step 2: Convert to fraction form
    17,783.62/24,522.96 = 15,274/x
  3. Step 3: Cross multiply
    17,783.62x = 24,522.96 × 15,274
  4. Step 4: Simplify right side
    17,783.62x = 374,563,691.04
  5. Step 5: Solve for x
    x = 374,563,691.04/17,783.62
  6. Step 6: Final answer
    x = 21,062.29

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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.