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Finding the Fourth Proportional to 23,922.96, 35,885.76 and 9,133.08

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Solution

The fourth proportional to 23,922.96, 35,885.76 and 9,133.08 is: 13,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.96 : 35,885.76 = 9,133.08 : x
  2. Step 2: Convert to fraction form
    23,922.96/35,885.76 = 9,133.08/x
  3. Step 3: Cross multiply
    23,922.96x = 35,885.76 × 9,133.08
  4. Step 4: Simplify right side
    23,922.96x = 327,747,516.94
  5. Step 5: Solve for x
    x = 327,747,516.94/23,922.96
  6. Step 6: Final answer
    x = 13,700.12

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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.