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Finding the Fourth Proportional to 17,205.90, 23,744.40 and 9,653.90

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Solution

The fourth proportional to 17,205.90, 23,744.40 and 9,653.90 is: 13,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.90 : 23,744.40 = 9,653.90 : x
  2. Step 2: Convert to fraction form
    17,205.90/23,744.40 = 9,653.90/x
  3. Step 3: Cross multiply
    17,205.90x = 23,744.40 × 9,653.90
  4. Step 4: Simplify right side
    17,205.90x = 229,226,063.16
  5. Step 5: Solve for x
    x = 229,226,063.16/17,205.90
  6. Step 6: Final answer
    x = 13,322.53

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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.