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Finding the Fourth Proportional to 17,191.34, 25,787.02 and 4,711.47

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Solution

The fourth proportional to 17,191.34, 25,787.02 and 4,711.47 is: 7,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191.34 : 25,787.02 = 4,711.47 : x
  2. Step 2: Convert to fraction form
    17,191.34/25,787.02 = 4,711.47/x
  3. Step 3: Cross multiply
    17,191.34x = 25,787.02 × 4,711.47
  4. Step 4: Simplify right side
    17,191.34x = 121,494,771.12
  5. Step 5: Solve for x
    x = 121,494,771.12/17,191.34
  6. Step 6: Final answer
    x = 7,067.21

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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.