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Finding the Fourth Proportional to 27,724.74, 41,582.22 and 8,006.10

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Solution

The fourth proportional to 27,724.74, 41,582.22 and 8,006.10 is: 12,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.74 : 41,582.22 = 8,006.10 : x
  2. Step 2: Convert to fraction form
    27,724.74/41,582.22 = 8,006.10/x
  3. Step 3: Cross multiply
    27,724.74x = 41,582.22 × 8,006.10
  4. Step 4: Simplify right side
    27,724.74x = 332,911,411.54
  5. Step 5: Solve for x
    x = 332,911,411.54/27,724.74
  6. Step 6: Final answer
    x = 12,007.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.