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Finding the Fourth Proportional to 17,509.50, 24,162.70 and 9,551.78

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Solution

The fourth proportional to 17,509.50, 24,162.70 and 9,551.78 is: 13,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.50 : 24,162.70 = 9,551.78 : x
  2. Step 2: Convert to fraction form
    17,509.50/24,162.70 = 9,551.78/x
  3. Step 3: Cross multiply
    17,509.50x = 24,162.70 × 9,551.78
  4. Step 4: Simplify right side
    17,509.50x = 230,796,794.61
  5. Step 5: Solve for x
    x = 230,796,794.61/17,509.50
  6. Step 6: Final answer
    x = 13,181.23

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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.