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Finding the Fourth Proportional to 14,550.96, 20,069.64 and 9,505.56

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Solution

The fourth proportional to 14,550.96, 20,069.64 and 9,505.56 is: 13,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.96 : 20,069.64 = 9,505.56 : x
  2. Step 2: Convert to fraction form
    14,550.96/20,069.64 = 9,505.56/x
  3. Step 3: Cross multiply
    14,550.96x = 20,069.64 × 9,505.56
  4. Step 4: Simplify right side
    14,550.96x = 190,773,167.20
  5. Step 5: Solve for x
    x = 190,773,167.20/14,550.96
  6. Step 6: Final answer
    x = 13,110.69

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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.