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Finding the Fourth Proportional to 17,285.84, 23,854.60 and 9,834.32

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Solution

The fourth proportional to 17,285.84, 23,854.60 and 9,834.32 is: 13,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.84 : 23,854.60 = 9,834.32 : x
  2. Step 2: Convert to fraction form
    17,285.84/23,854.60 = 9,834.32/x
  3. Step 3: Cross multiply
    17,285.84x = 23,854.60 × 9,834.32
  4. Step 4: Simplify right side
    17,285.84x = 234,593,769.87
  5. Step 5: Solve for x
    x = 234,593,769.87/17,285.84
  6. Step 6: Final answer
    x = 13,571.44

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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.