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Finding the Fourth Proportional to 14,923.20, 20,594.52 and 8,209.34

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Solution

The fourth proportional to 14,923.20, 20,594.52 and 8,209.34 is: 11,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.20 : 20,594.52 = 8,209.34 : x
  2. Step 2: Convert to fraction form
    14,923.20/20,594.52 = 8,209.34/x
  3. Step 3: Cross multiply
    14,923.20x = 20,594.52 × 8,209.34
  4. Step 4: Simplify right side
    14,923.20x = 169,067,416.82
  5. Step 5: Solve for x
    x = 169,067,416.82/14,923.20
  6. Step 6: Final answer
    x = 11,329.17

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