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Finding the Fourth Proportional to 17,983.20, 24,809.04 and 12,384.48

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Solution

The fourth proportional to 17,983.20, 24,809.04 and 12,384.48 is: 17,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,983.20 : 24,809.04 = 12,384.48 : x
  2. Step 2: Convert to fraction form
    17,983.20/24,809.04 = 12,384.48/x
  3. Step 3: Cross multiply
    17,983.20x = 24,809.04 × 12,384.48
  4. Step 4: Simplify right side
    17,983.20x = 307,247,059.70
  5. Step 5: Solve for x
    x = 307,247,059.70/17,983.20
  6. Step 6: Final answer
    x = 17,085.23

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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.