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Finding the Fourth Proportional to 15,920.62, 23,880.78 and 9,682.36

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Solution

The fourth proportional to 15,920.62, 23,880.78 and 9,682.36 is: 14,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.62 : 23,880.78 = 9,682.36 : x
  2. Step 2: Convert to fraction form
    15,920.62/23,880.78 = 9,682.36/x
  3. Step 3: Cross multiply
    15,920.62x = 23,880.78 × 9,682.36
  4. Step 4: Simplify right side
    15,920.62x = 231,222,309.04
  5. Step 5: Solve for x
    x = 231,222,309.04/15,920.62
  6. Step 6: Final answer
    x = 14,523.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.