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Finding the Fourth Proportional to 23,856.38, 35,784.57 and 7,440.38

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Solution

The fourth proportional to 23,856.38, 35,784.57 and 7,440.38 is: 11,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.38 : 35,784.57 = 7,440.38 : x
  2. Step 2: Convert to fraction form
    23,856.38/35,784.57 = 7,440.38/x
  3. Step 3: Cross multiply
    23,856.38x = 35,784.57 × 7,440.38
  4. Step 4: Simplify right side
    23,856.38x = 266,250,620.01
  5. Step 5: Solve for x
    x = 266,250,620.01/23,856.38
  6. Step 6: Final answer
    x = 11,160.56

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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.