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Finding the Fourth Proportional to 18,582.71, 27,874.31 and 6,103.70

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Solution

The fourth proportional to 18,582.71, 27,874.31 and 6,103.70 is: 9,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.71 : 27,874.31 = 6,103.70 : x
  2. Step 2: Convert to fraction form
    18,582.71/27,874.31 = 6,103.70/x
  3. Step 3: Cross multiply
    18,582.71x = 27,874.31 × 6,103.70
  4. Step 4: Simplify right side
    18,582.71x = 170,136,301.83
  5. Step 5: Solve for x
    x = 170,136,301.83/18,582.71
  6. Step 6: Final answer
    x = 9,155.63

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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.