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Finding the Fourth Proportional to 23,517.64, 35,277.50 and 9,286.11

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Solution

The fourth proportional to 23,517.64, 35,277.50 and 9,286.11 is: 13,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.64 : 35,277.50 = 9,286.11 : x
  2. Step 2: Convert to fraction form
    23,517.64/35,277.50 = 9,286.11/x
  3. Step 3: Cross multiply
    23,517.64x = 35,277.50 × 9,286.11
  4. Step 4: Simplify right side
    23,517.64x = 327,590,569.14
  5. Step 5: Solve for x
    x = 327,590,569.14/23,517.64
  6. Step 6: Final answer
    x = 13,929.57

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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.