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Finding the Fourth Proportional to 23,181.53, 34,772.37 and 6,541.65

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Solution

The fourth proportional to 23,181.53, 34,772.37 and 6,541.65 is: 9,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.53 : 34,772.37 = 6,541.65 : x
  2. Step 2: Convert to fraction form
    23,181.53/34,772.37 = 6,541.65/x
  3. Step 3: Cross multiply
    23,181.53x = 34,772.37 × 6,541.65
  4. Step 4: Simplify right side
    23,181.53x = 227,468,674.21
  5. Step 5: Solve for x
    x = 227,468,674.21/23,181.53
  6. Step 6: Final answer
    x = 9,812.50

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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.