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Finding the Fourth Proportional to 17,391.57, 24,000.17 and 9,837.78

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Solution

The fourth proportional to 17,391.57, 24,000.17 and 9,837.78 is: 13,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,391.57 : 24,000.17 = 9,837.78 : x
  2. Step 2: Convert to fraction form
    17,391.57/24,000.17 = 9,837.78/x
  3. Step 3: Cross multiply
    17,391.57x = 24,000.17 × 9,837.78
  4. Step 4: Simplify right side
    17,391.57x = 236,108,272.42
  5. Step 5: Solve for x
    x = 236,108,272.42/17,391.57
  6. Step 6: Final answer
    x = 13,576.02

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1.5x scale

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.