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Finding the Fourth Proportional to 23,532.24, 35,302.72 and 7,738.14

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Solution

The fourth proportional to 23,532.24, 35,302.72 and 7,738.14 is: 11,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.24 : 35,302.72 = 7,738.14 : x
  2. Step 2: Convert to fraction form
    23,532.24/35,302.72 = 7,738.14/x
  3. Step 3: Cross multiply
    23,532.24x = 35,302.72 × 7,738.14
  4. Step 4: Simplify right side
    23,532.24x = 273,177,389.74
  5. Step 5: Solve for x
    x = 273,177,389.74/23,532.24
  6. Step 6: Final answer
    x = 11,608.64

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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.