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Finding the Fourth Proportional to 18,055.86, 27,080.49 and 8,192.76

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Solution

The fourth proportional to 18,055.86, 27,080.49 and 8,192.76 is: 12,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,055.86 : 27,080.49 = 8,192.76 : x
  2. Step 2: Convert to fraction form
    18,055.86/27,080.49 = 8,192.76/x
  3. Step 3: Cross multiply
    18,055.86x = 27,080.49 × 8,192.76
  4. Step 4: Simplify right side
    18,055.86x = 221,863,955.25
  5. Step 5: Solve for x
    x = 221,863,955.25/18,055.86
  6. Step 6: Final answer
    x = 12,287.64

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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.