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Finding the Fourth Proportional to 23,735.84, 35,611.54 and 9,707.66

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Solution

The fourth proportional to 23,735.84, 35,611.54 and 9,707.66 is: 14,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,735.84 : 35,611.54 = 9,707.66 : x
  2. Step 2: Convert to fraction form
    23,735.84/35,611.54 = 9,707.66/x
  3. Step 3: Cross multiply
    23,735.84x = 35,611.54 × 9,707.66
  4. Step 4: Simplify right side
    23,735.84x = 345,704,708.22
  5. Step 5: Solve for x
    x = 345,704,708.22/23,735.84
  6. Step 6: Final answer
    x = 14,564.67

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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.