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Finding the Fourth Proportional to 12,308.93, 16,991.81 and 9,577.27

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Solution

The fourth proportional to 12,308.93, 16,991.81 and 9,577.27 is: 13,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.93 : 16,991.81 = 9,577.27 : x
  2. Step 2: Convert to fraction form
    12,308.93/16,991.81 = 9,577.27/x
  3. Step 3: Cross multiply
    12,308.93x = 16,991.81 × 9,577.27
  4. Step 4: Simplify right side
    12,308.93x = 162,735,161.43
  5. Step 5: Solve for x
    x = 162,735,161.43/12,308.93
  6. Step 6: Final answer
    x = 13,220.90

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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.