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Finding the Fourth Proportional to 17,205.60, 23,735.70 and 10,829.28

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Solution

The fourth proportional to 17,205.60, 23,735.70 and 10,829.28 is: 14,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.60 : 23,735.70 = 10,829.28 : x
  2. Step 2: Convert to fraction form
    17,205.60/23,735.70 = 10,829.28/x
  3. Step 3: Cross multiply
    17,205.60x = 23,735.70 × 10,829.28
  4. Step 4: Simplify right side
    17,205.60x = 257,040,541.30
  5. Step 5: Solve for x
    x = 257,040,541.30/17,205.60
  6. Step 6: Final answer
    x = 14,939.35

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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.