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Finding the Fourth Proportional to 18,524.94, 27,784.49 and 6,044.90

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Solution

The fourth proportional to 18,524.94, 27,784.49 and 6,044.90 is: 9,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.94 : 27,784.49 = 6,044.90 : x
  2. Step 2: Convert to fraction form
    18,524.94/27,784.49 = 6,044.90/x
  3. Step 3: Cross multiply
    18,524.94x = 27,784.49 × 6,044.90
  4. Step 4: Simplify right side
    18,524.94x = 167,954,501.75
  5. Step 5: Solve for x
    x = 167,954,501.75/18,524.94
  6. Step 6: Final answer
    x = 9,066.40

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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.