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Finding the Fourth Proportional to 17,907.32, 24,710.90 and 9,949.54

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Solution

The fourth proportional to 17,907.32, 24,710.90 and 9,949.54 is: 13,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.32 : 24,710.90 = 9,949.54 : x
  2. Step 2: Convert to fraction form
    17,907.32/24,710.90 = 9,949.54/x
  3. Step 3: Cross multiply
    17,907.32x = 24,710.90 × 9,949.54
  4. Step 4: Simplify right side
    17,907.32x = 245,862,087.99
  5. Step 5: Solve for x
    x = 245,862,087.99/17,907.32
  6. Step 6: Final answer
    x = 13,729.70

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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.