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Finding the Fourth Proportional to 23,180.96, 34,773.48 and 6,541.12

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Solution

The fourth proportional to 23,180.96, 34,773.48 and 6,541.12 is: 9,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.96 : 34,773.48 = 6,541.12 : x
  2. Step 2: Convert to fraction form
    23,180.96/34,773.48 = 6,541.12/x
  3. Step 3: Cross multiply
    23,180.96x = 34,773.48 × 6,541.12
  4. Step 4: Simplify right side
    23,180.96x = 227,457,505.50
  5. Step 5: Solve for x
    x = 227,457,505.50/23,180.96
  6. Step 6: Final answer
    x = 9,812.26

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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.