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Finding the Fourth Proportional to 19,205.67, 28,787.67 and 9,832.83

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Solution

The fourth proportional to 19,205.67, 28,787.67 and 9,832.83 is: 14,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.67 : 28,787.67 = 9,832.83 : x
  2. Step 2: Convert to fraction form
    19,205.67/28,787.67 = 9,832.83/x
  3. Step 3: Cross multiply
    19,205.67x = 28,787.67 × 9,832.83
  4. Step 4: Simplify right side
    19,205.67x = 283,064,265.21
  5. Step 5: Solve for x
    x = 283,064,265.21/19,205.67
  6. Step 6: Final answer
    x = 14,738.58

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1.5x scale

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.