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Finding the Fourth Proportional to 17,752.53, 24,498.14 and 9,794.73

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Solution

The fourth proportional to 17,752.53, 24,498.14 and 9,794.73 is: 13,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.53 : 24,498.14 = 9,794.73 : x
  2. Step 2: Convert to fraction form
    17,752.53/24,498.14 = 9,794.73/x
  3. Step 3: Cross multiply
    17,752.53x = 24,498.14 × 9,794.73
  4. Step 4: Simplify right side
    17,752.53x = 239,952,617.83
  5. Step 5: Solve for x
    x = 239,952,617.83/17,752.53
  6. Step 6: Final answer
    x = 13,516.53

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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.