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Finding the Fourth Proportional to 14,923.30, 20,593.82 and 8,208.78

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Solution

The fourth proportional to 14,923.30, 20,593.82 and 8,208.78 is: 11,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.30 : 20,593.82 = 8,208.78 : x
  2. Step 2: Convert to fraction form
    14,923.30/20,593.82 = 8,208.78/x
  3. Step 3: Cross multiply
    14,923.30x = 20,593.82 × 8,208.78
  4. Step 4: Simplify right side
    14,923.30x = 169,050,137.74
  5. Step 5: Solve for x
    x = 169,050,137.74/14,923.30
  6. Step 6: Final answer
    x = 11,327.93

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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.