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Finding the Fourth Proportional to 14,854.80, 20,499.56 and 8,140.82

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Solution

The fourth proportional to 14,854.80, 20,499.56 and 8,140.82 is: 11,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.80 : 20,499.56 = 8,140.82 : x
  2. Step 2: Convert to fraction form
    14,854.80/20,499.56 = 8,140.82/x
  3. Step 3: Cross multiply
    14,854.80x = 20,499.56 × 8,140.82
  4. Step 4: Simplify right side
    14,854.80x = 166,883,228.04
  5. Step 5: Solve for x
    x = 166,883,228.04/14,854.80
  6. Step 6: Final answer
    x = 11,234.30

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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.