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Finding the Fourth Proportional to 14,909.95, 20,574.72 and 8,195.86

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Solution

The fourth proportional to 14,909.95, 20,574.72 and 8,195.86 is: 11,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.95 : 20,574.72 = 8,195.86 : x
  2. Step 2: Convert to fraction form
    14,909.95/20,574.72 = 8,195.86/x
  3. Step 3: Cross multiply
    14,909.95x = 20,574.72 × 8,195.86
  4. Step 4: Simplify right side
    14,909.95x = 168,627,524.66
  5. Step 5: Solve for x
    x = 168,627,524.66/14,909.95
  6. Step 6: Final answer
    x = 11,309.73

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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.