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Finding the Fourth Proportional to 13,824.92, 20,724.93 and 9,384.10

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Solution

The fourth proportional to 13,824.92, 20,724.93 and 9,384.10 is: 14,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.92 : 20,724.93 = 9,384.10 : x
  2. Step 2: Convert to fraction form
    13,824.92/20,724.93 = 9,384.10/x
  3. Step 3: Cross multiply
    13,824.92x = 20,724.93 × 9,384.10
  4. Step 4: Simplify right side
    13,824.92x = 194,484,763.80
  5. Step 5: Solve for x
    x = 194,484,763.80/13,824.92
  6. Step 6: Final answer
    x = 14,067.69

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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.