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Finding the Fourth Proportional to 15,905.34, 23,861.61 and 8,505.90

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Solution

The fourth proportional to 15,905.34, 23,861.61 and 8,505.90 is: 12,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.34 : 23,861.61 = 8,505.90 : x
  2. Step 2: Convert to fraction form
    15,905.34/23,861.61 = 8,505.90/x
  3. Step 3: Cross multiply
    15,905.34x = 23,861.61 × 8,505.90
  4. Step 4: Simplify right side
    15,905.34x = 202,964,468.50
  5. Step 5: Solve for x
    x = 202,964,468.50/15,905.34
  6. Step 6: Final answer
    x = 12,760.78

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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.