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Finding the Fourth Proportional to 17,322.82, 23,903.82 and 9,770.33

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Solution

The fourth proportional to 17,322.82, 23,903.82 and 9,770.33 is: 13,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.82 : 23,903.82 = 9,770.33 : x
  2. Step 2: Convert to fraction form
    17,322.82/23,903.82 = 9,770.33/x
  3. Step 3: Cross multiply
    17,322.82x = 23,903.82 × 9,770.33
  4. Step 4: Simplify right side
    17,322.82x = 233,548,209.66
  5. Step 5: Solve for x
    x = 233,548,209.66/17,322.82
  6. Step 6: Final answer
    x = 13,482.11

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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.