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Finding the Fourth Proportional to 23,776.39, 35,670.50 and 7,136.73

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Solution

The fourth proportional to 23,776.39, 35,670.50 and 7,136.73 is: 10,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.39 : 35,670.50 = 7,136.73 : x
  2. Step 2: Convert to fraction form
    23,776.39/35,670.50 = 7,136.73/x
  3. Step 3: Cross multiply
    23,776.39x = 35,670.50 × 7,136.73
  4. Step 4: Simplify right side
    23,776.39x = 254,570,549.11
  5. Step 5: Solve for x
    x = 254,570,549.11/23,776.39
  6. Step 6: Final answer
    x = 10,706.87

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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.