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Finding the Fourth Proportional to 17,907.40, 24,711.78 and 9,949.24

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Solution

The fourth proportional to 17,907.40, 24,711.78 and 9,949.24 is: 13,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.40 : 24,711.78 = 9,949.24 : x
  2. Step 2: Convert to fraction form
    17,907.40/24,711.78 = 9,949.24/x
  3. Step 3: Cross multiply
    17,907.40x = 24,711.78 × 9,949.24
  4. Step 4: Simplify right side
    17,907.40x = 245,863,430.05
  5. Step 5: Solve for x
    x = 245,863,430.05/17,907.40
  6. Step 6: Final answer
    x = 13,729.71

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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.