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Finding the Fourth Proportional to 23,737.98, 35,606.82 and 9,695

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Solution

The fourth proportional to 23,737.98, 35,606.82 and 9,695 is: 14,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.98 : 35,606.82 = 9,695 : x
  2. Step 2: Convert to fraction form
    23,737.98/35,606.82 = 9,695/x
  3. Step 3: Cross multiply
    23,737.98x = 35,606.82 × 9,695
  4. Step 4: Simplify right side
    23,737.98x = 345,208,119.90
  5. Step 5: Solve for x
    x = 345,208,119.90/23,737.98
  6. Step 6: Final answer
    x = 14,542.44

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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.