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Finding the Fourth Proportional to 14,665.98, 20,232.72 and 9,285.80

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Solution

The fourth proportional to 14,665.98, 20,232.72 and 9,285.80 is: 12,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.98 : 20,232.72 = 9,285.80 : x
  2. Step 2: Convert to fraction form
    14,665.98/20,232.72 = 9,285.80/x
  3. Step 3: Cross multiply
    14,665.98x = 20,232.72 × 9,285.80
  4. Step 4: Simplify right side
    14,665.98x = 187,876,991.38
  5. Step 5: Solve for x
    x = 187,876,991.38/14,665.98
  6. Step 6: Final answer
    x = 12,810.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.