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Finding the Fourth Proportional to 23,938.50, 35,912.92 and 7,298.10

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Solution

The fourth proportional to 23,938.50, 35,912.92 and 7,298.10 is: 10,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938.50 : 35,912.92 = 7,298.10 : x
  2. Step 2: Convert to fraction form
    23,938.50/35,912.92 = 7,298.10/x
  3. Step 3: Cross multiply
    23,938.50x = 35,912.92 × 7,298.10
  4. Step 4: Simplify right side
    23,938.50x = 262,096,081.45
  5. Step 5: Solve for x
    x = 262,096,081.45/23,938.50
  6. Step 6: Final answer
    x = 10,948.73

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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.