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Finding the Fourth Proportional to 17,480.96, 24,121.64 and 9,927.24

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Solution

The fourth proportional to 17,480.96, 24,121.64 and 9,927.24 is: 13,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.96 : 24,121.64 = 9,927.24 : x
  2. Step 2: Convert to fraction form
    17,480.96/24,121.64 = 9,927.24/x
  3. Step 3: Cross multiply
    17,480.96x = 24,121.64 × 9,927.24
  4. Step 4: Simplify right side
    17,480.96x = 239,461,309.47
  5. Step 5: Solve for x
    x = 239,461,309.47/17,480.96
  6. Step 6: Final answer
    x = 13,698.41

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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.