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Finding the Fourth Proportional to 17,276.25, 23,841.36 and 9,824.25

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Solution

The fourth proportional to 17,276.25, 23,841.36 and 9,824.25 is: 13,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276.25 : 23,841.36 = 9,824.25 : x
  2. Step 2: Convert to fraction form
    17,276.25/23,841.36 = 9,824.25/x
  3. Step 3: Cross multiply
    17,276.25x = 23,841.36 × 9,824.25
  4. Step 4: Simplify right side
    17,276.25x = 234,223,480.98
  5. Step 5: Solve for x
    x = 234,223,480.98/17,276.25
  6. Step 6: Final answer
    x = 13,557.54

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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.