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Finding the Fourth Proportional to 12,534.33, 18,773.65 and 8,969.81

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Solution

The fourth proportional to 12,534.33, 18,773.65 and 8,969.81 is: 13,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.33 : 18,773.65 = 8,969.81 : x
  2. Step 2: Convert to fraction form
    12,534.33/18,773.65 = 8,969.81/x
  3. Step 3: Cross multiply
    12,534.33x = 18,773.65 × 8,969.81
  4. Step 4: Simplify right side
    12,534.33x = 168,395,957.21
  5. Step 5: Solve for x
    x = 168,395,957.21/12,534.33
  6. Step 6: Final answer
    x = 13,434.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.