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Finding the Fourth Proportional to 16,920, 25,374.42 and 5,826.44

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Solution

The fourth proportional to 16,920, 25,374.42 and 5,826.44 is: 8,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920 : 25,374.42 = 5,826.44 : x
  2. Step 2: Convert to fraction form
    16,920/25,374.42 = 5,826.44/x
  3. Step 3: Cross multiply
    16,920x = 25,374.42 × 5,826.44
  4. Step 4: Simplify right side
    16,920x = 147,842,535.66
  5. Step 5: Solve for x
    x = 147,842,535.66/16,920
  6. Step 6: Final answer
    x = 8,737.74

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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.