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Finding the Fourth Proportional to 23,008.53, 34,511.81 and 7,213.21

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Solution

The fourth proportional to 23,008.53, 34,511.81 and 7,213.21 is: 10,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008.53 : 34,511.81 = 7,213.21 : x
  2. Step 2: Convert to fraction form
    23,008.53/34,511.81 = 7,213.21/x
  3. Step 3: Cross multiply
    23,008.53x = 34,511.81 × 7,213.21
  4. Step 4: Simplify right side
    23,008.53x = 248,940,810.66
  5. Step 5: Solve for x
    x = 248,940,810.66/23,008.53
  6. Step 6: Final answer
    x = 10,819.50

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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.