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Finding the Fourth Proportional to 17,735.49, 24,468.09 and 10,179.09

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Solution

The fourth proportional to 17,735.49, 24,468.09 and 10,179.09 is: 14,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.49 : 24,468.09 = 10,179.09 : x
  2. Step 2: Convert to fraction form
    17,735.49/24,468.09 = 10,179.09/x
  3. Step 3: Cross multiply
    17,735.49x = 24,468.09 × 10,179.09
  4. Step 4: Simplify right side
    17,735.49x = 249,062,890.24
  5. Step 5: Solve for x
    x = 249,062,890.24/17,735.49
  6. Step 6: Final answer
    x = 14,043.19

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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.