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Finding the Fourth Proportional to 23,136.48, 34,697.56 and 8,343.50

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Solution

The fourth proportional to 23,136.48, 34,697.56 and 8,343.50 is: 12,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.48 : 34,697.56 = 8,343.50 : x
  2. Step 2: Convert to fraction form
    23,136.48/34,697.56 = 8,343.50/x
  3. Step 3: Cross multiply
    23,136.48x = 34,697.56 × 8,343.50
  4. Step 4: Simplify right side
    23,136.48x = 289,499,091.86
  5. Step 5: Solve for x
    x = 289,499,091.86/23,136.48
  6. Step 6: Final answer
    x = 12,512.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.