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Finding the Fourth Proportional to 23,309.62, 34,978.19 and 10,834

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Solution

The fourth proportional to 23,309.62, 34,978.19 and 10,834 is: 16,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.62 : 34,978.19 = 10,834 : x
  2. Step 2: Convert to fraction form
    23,309.62/34,978.19 = 10,834/x
  3. Step 3: Cross multiply
    23,309.62x = 34,978.19 × 10,834
  4. Step 4: Simplify right side
    23,309.62x = 378,953,710.46
  5. Step 5: Solve for x
    x = 378,953,710.46/23,309.62
  6. Step 6: Final answer
    x = 16,257.40

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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.