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Finding the Fourth Proportional to 17,337.78, 25,983.99 and 6,937.38

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Solution

The fourth proportional to 17,337.78, 25,983.99 and 6,937.38 is: 10,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,337.78 : 25,983.99 = 6,937.38 : x
  2. Step 2: Convert to fraction form
    17,337.78/25,983.99 = 6,937.38/x
  3. Step 3: Cross multiply
    17,337.78x = 25,983.99 × 6,937.38
  4. Step 4: Simplify right side
    17,337.78x = 180,260,812.55
  5. Step 5: Solve for x
    x = 180,260,812.55/17,337.78
  6. Step 6: Final answer
    x = 10,397.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.