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Finding the Fourth Proportional to 14,447.80, 19,923.87 and 9,659.62

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Solution

The fourth proportional to 14,447.80, 19,923.87 and 9,659.62 is: 13,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.80 : 19,923.87 = 9,659.62 : x
  2. Step 2: Convert to fraction form
    14,447.80/19,923.87 = 9,659.62/x
  3. Step 3: Cross multiply
    14,447.80x = 19,923.87 × 9,659.62
  4. Step 4: Simplify right side
    14,447.80x = 192,457,013.13
  5. Step 5: Solve for x
    x = 192,457,013.13/14,447.80
  6. Step 6: Final answer
    x = 13,320.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.