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Finding the Fourth Proportional to 14,909.83, 20,573.31 and 8,195.74

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Solution

The fourth proportional to 14,909.83, 20,573.31 and 8,195.74 is: 11,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.83 : 20,573.31 = 8,195.74 : x
  2. Step 2: Convert to fraction form
    14,909.83/20,573.31 = 8,195.74/x
  3. Step 3: Cross multiply
    14,909.83x = 20,573.31 × 8,195.74
  4. Step 4: Simplify right side
    14,909.83x = 168,613,499.70
  5. Step 5: Solve for x
    x = 168,613,499.70/14,909.83
  6. Step 6: Final answer
    x = 11,308.88

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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.