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Finding the Fourth Proportional to 27,785.07, 38,333.07 and 17,711.19

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Solution

The fourth proportional to 27,785.07, 38,333.07 and 17,711.19 is: 24,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.07 : 38,333.07 = 17,711.19 : x
  2. Step 2: Convert to fraction form
    27,785.07/38,333.07 = 17,711.19/x
  3. Step 3: Cross multiply
    27,785.07x = 38,333.07 × 17,711.19
  4. Step 4: Simplify right side
    27,785.07x = 678,924,286.05
  5. Step 5: Solve for x
    x = 678,924,286.05/27,785.07
  6. Step 6: Final answer
    x = 24,434.86

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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.