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Finding the Fourth Proportional to 14,909.15, 20,574.21 and 8,194.77

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Solution

The fourth proportional to 14,909.15, 20,574.21 and 8,194.77 is: 11,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.15 : 20,574.21 = 8,194.77 : x
  2. Step 2: Convert to fraction form
    14,909.15/20,574.21 = 8,194.77/x
  3. Step 3: Cross multiply
    14,909.15x = 20,574.21 × 8,194.77
  4. Step 4: Simplify right side
    14,909.15x = 168,600,918.88
  5. Step 5: Solve for x
    x = 168,600,918.88/14,909.15
  6. Step 6: Final answer
    x = 11,308.56

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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.