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Finding the Fourth Proportional to 14,810.96, 20,439.56 and 8,097.20

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Solution

The fourth proportional to 14,810.96, 20,439.56 and 8,097.20 is: 11,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.96 : 20,439.56 = 8,097.20 : x
  2. Step 2: Convert to fraction form
    14,810.96/20,439.56 = 8,097.20/x
  3. Step 3: Cross multiply
    14,810.96x = 20,439.56 × 8,097.20
  4. Step 4: Simplify right side
    14,810.96x = 165,503,205.23
  5. Step 5: Solve for x
    x = 165,503,205.23/14,810.96
  6. Step 6: Final answer
    x = 11,174.37

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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.