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Finding the Fourth Proportional to 17,852.97, 24,636.58 and 9,786.46

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Solution

The fourth proportional to 17,852.97, 24,636.58 and 9,786.46 is: 13,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.97 : 24,636.58 = 9,786.46 : x
  2. Step 2: Convert to fraction form
    17,852.97/24,636.58 = 9,786.46/x
  3. Step 3: Cross multiply
    17,852.97x = 24,636.58 × 9,786.46
  4. Step 4: Simplify right side
    17,852.97x = 241,104,904.71
  5. Step 5: Solve for x
    x = 241,104,904.71/17,852.97
  6. Step 6: Final answer
    x = 13,505.03

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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.