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Finding the Fourth Proportional to 16,780.84, 25,165.49 and 7,414.54

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Solution

The fourth proportional to 16,780.84, 25,165.49 and 7,414.54 is: 11,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.84 : 25,165.49 = 7,414.54 : x
  2. Step 2: Convert to fraction form
    16,780.84/25,165.49 = 7,414.54/x
  3. Step 3: Cross multiply
    16,780.84x = 25,165.49 × 7,414.54
  4. Step 4: Simplify right side
    16,780.84x = 186,590,432.24
  5. Step 5: Solve for x
    x = 186,590,432.24/16,780.84
  6. Step 6: Final answer
    x = 11,119.26

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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.