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Finding the Fourth Proportional to 23,874.75, 35,812.13 and 7,458.75

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Solution

The fourth proportional to 23,874.75, 35,812.13 and 7,458.75 is: 11,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 35,812.13 = 7,458.75 : x
  2. Step 2: Convert to fraction form
    23,874.75/35,812.13 = 7,458.75/x
  3. Step 3: Cross multiply
    23,874.75x = 35,812.13 × 7,458.75
  4. Step 4: Simplify right side
    23,874.75x = 267,113,687.34
  5. Step 5: Solve for x
    x = 267,113,687.34/23,874.75
  6. Step 6: Final answer
    x = 11,188.13

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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.