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Finding the Fourth Proportional to 14,924.21, 20,594.98 and 8,209.84

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Solution

The fourth proportional to 14,924.21, 20,594.98 and 8,209.84 is: 11,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.21 : 20,594.98 = 8,209.84 : x
  2. Step 2: Convert to fraction form
    14,924.21/20,594.98 = 8,209.84/x
  3. Step 3: Cross multiply
    14,924.21x = 20,594.98 × 8,209.84
  4. Step 4: Simplify right side
    14,924.21x = 169,081,418.59
  5. Step 5: Solve for x
    x = 169,081,418.59/14,924.21
  6. Step 6: Final answer
    x = 11,329.34

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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.