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Finding the Fourth Proportional to 18,097.20, 27,145.80 and 12,192.30

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Solution

The fourth proportional to 18,097.20, 27,145.80 and 12,192.30 is: 18,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.20 : 27,145.80 = 12,192.30 : x
  2. Step 2: Convert to fraction form
    18,097.20/27,145.80 = 12,192.30/x
  3. Step 3: Cross multiply
    18,097.20x = 27,145.80 × 12,192.30
  4. Step 4: Simplify right side
    18,097.20x = 330,969,737.34
  5. Step 5: Solve for x
    x = 330,969,737.34/18,097.20
  6. Step 6: Final answer
    x = 18,288.45

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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.