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Finding the Fourth Proportional to 17,629.65, 24,328.49 and 9,671.80

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Solution

The fourth proportional to 17,629.65, 24,328.49 and 9,671.80 is: 13,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629.65 : 24,328.49 = 9,671.80 : x
  2. Step 2: Convert to fraction form
    17,629.65/24,328.49 = 9,671.80/x
  3. Step 3: Cross multiply
    17,629.65x = 24,328.49 × 9,671.80
  4. Step 4: Simplify right side
    17,629.65x = 235,300,289.58
  5. Step 5: Solve for x
    x = 235,300,289.58/17,629.65
  6. Step 6: Final answer
    x = 13,346.85

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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.