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Finding the Fourth Proportional to 21,826.86, 30,122.07 and 12,874.74

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Solution

The fourth proportional to 21,826.86, 30,122.07 and 12,874.74 is: 17,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.86 : 30,122.07 = 12,874.74 : x
  2. Step 2: Convert to fraction form
    21,826.86/30,122.07 = 12,874.74/x
  3. Step 3: Cross multiply
    21,826.86x = 30,122.07 × 12,874.74
  4. Step 4: Simplify right side
    21,826.86x = 387,813,819.51
  5. Step 5: Solve for x
    x = 387,813,819.51/21,826.86
  6. Step 6: Final answer
    x = 17,767.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.