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Finding the Fourth Proportional to 18,543.51, 27,814.05 and 8,013.24

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Solution

The fourth proportional to 18,543.51, 27,814.05 and 8,013.24 is: 12,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.51 : 27,814.05 = 8,013.24 : x
  2. Step 2: Convert to fraction form
    18,543.51/27,814.05 = 8,013.24/x
  3. Step 3: Cross multiply
    18,543.51x = 27,814.05 × 8,013.24
  4. Step 4: Simplify right side
    18,543.51x = 222,880,658.02
  5. Step 5: Solve for x
    x = 222,880,658.02/18,543.51
  6. Step 6: Final answer
    x = 12,019.33

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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.