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Finding the Fourth Proportional to 19,257.84, 26,578.20 and 10,874.28

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Solution

The fourth proportional to 19,257.84, 26,578.20 and 10,874.28 is: 15,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.84 : 26,578.20 = 10,874.28 : x
  2. Step 2: Convert to fraction form
    19,257.84/26,578.20 = 10,874.28/x
  3. Step 3: Cross multiply
    19,257.84x = 26,578.20 × 10,874.28
  4. Step 4: Simplify right side
    19,257.84x = 289,018,788.70
  5. Step 5: Solve for x
    x = 289,018,788.70/19,257.84
  6. Step 6: Final answer
    x = 15,007.85

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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.