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Finding the Fourth Proportional to 18,878, 28,317.24 and 6,566

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Solution

The fourth proportional to 18,878, 28,317.24 and 6,566 is: 9,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878 : 28,317.24 = 6,566 : x
  2. Step 2: Convert to fraction form
    18,878/28,317.24 = 6,566/x
  3. Step 3: Cross multiply
    18,878x = 28,317.24 × 6,566
  4. Step 4: Simplify right side
    18,878x = 185,930,997.84
  5. Step 5: Solve for x
    x = 185,930,997.84/18,878
  6. Step 6: Final answer
    x = 9,849.08

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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.