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Finding the Fourth Proportional to 13,920.82, 20,828.90 and 9,768.92

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Solution

The fourth proportional to 13,920.82, 20,828.90 and 9,768.92 is: 14,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.82 : 20,828.90 = 9,768.92 : x
  2. Step 2: Convert to fraction form
    13,920.82/20,828.90 = 9,768.92/x
  3. Step 3: Cross multiply
    13,920.82x = 20,828.90 × 9,768.92
  4. Step 4: Simplify right side
    13,920.82x = 203,475,857.79
  5. Step 5: Solve for x
    x = 203,475,857.79/13,920.82
  6. Step 6: Final answer
    x = 14,616.66

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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.